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Finding the Third Proportional to 421,650,523,614 and 642,355,406,472

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Solution

The third proportional to 421,650,523,614 and 642,355,406,472 is: 978,584,028,989.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,650,523,614 : 642,355,406,472 = 642,355,406,472 : x
  2. Step 2: Convert to fraction form
    421,650,523,614/642,355,406,472 = 642,355,406,472/x
  3. Step 3: Cross multiply
    421,650,523,614x = 642,355,406,472 × 642,355,406,472
  4. Step 4: Simplify right side
    421,650,523,614x = 412,620,468,223,808,353,861,632
  5. Step 5: Solve for x
    x = 412,620,468,223,808,353,861,632/421,650,523,614
  6. Step 6: Final answer
    x = 978,584,028,989.71

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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.