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Finding the Third Proportional to 421,650,523,604 and 642,355,406,464

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Solution

The third proportional to 421,650,523,604 and 642,355,406,464 is: 978,584,028,988.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,650,523,604 : 642,355,406,464 = 642,355,406,464 : x
  2. Step 2: Convert to fraction form
    421,650,523,604/642,355,406,464 = 642,355,406,464/x
  3. Step 3: Cross multiply
    421,650,523,604x = 642,355,406,464 × 642,355,406,464
  4. Step 4: Simplify right side
    421,650,523,604x = 412,620,468,213,530,631,340,032
  5. Step 5: Solve for x
    x = 412,620,468,213,530,631,340,032/421,650,523,604
  6. Step 6: Final answer
    x = 978,584,028,988.54

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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.