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Finding the Third Proportional to 421,650,523,568 and 642,355,406,402

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Solution

The third proportional to 421,650,523,568 and 642,355,406,402 is: 978,584,028,883.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,650,523,568 : 642,355,406,402 = 642,355,406,402 : x
  2. Step 2: Convert to fraction form
    421,650,523,568/642,355,406,402 = 642,355,406,402/x
  3. Step 3: Cross multiply
    421,650,523,568x = 642,355,406,402 × 642,355,406,402
  4. Step 4: Simplify right side
    421,650,523,568x = 412,620,468,133,878,583,787,520
  5. Step 5: Solve for x
    x = 412,620,468,133,878,583,787,520/421,650,523,568
  6. Step 6: Final answer
    x = 978,584,028,883.19

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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.