Home / 421,650,523,594.68-642,355,406,449.86

Finding the Third Proportional to 421,650,523,594.68 and 642,355,406,449.86

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Solution

The third proportional to 421,650,523,594.68 and 642,355,406,449.86 is: 978,584,028,967.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,650,523,594.68 : 642,355,406,449.86 = 642,355,406,449.86 : x
  2. Step 2: Convert to fraction form
    421,650,523,594.68/642,355,406,449.86 = 642,355,406,449.86/x
  3. Step 3: Cross multiply
    421,650,523,594.68x = 642,355,406,449.86 × 642,355,406,449.86
  4. Step 4: Simplify right side
    421,650,523,594.68x = 412,620,468,195,364,798,726,144
  5. Step 5: Solve for x
    x = 412,620,468,195,364,798,726,144/421,650,523,594.68
  6. Step 6: Final answer
    x = 978,584,028,967.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.