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Finding the Third Proportional to 198,220,918 and 434,559,624

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Solution

The third proportional to 198,220,918 and 434,559,624 is: 952,684,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,220,918 : 434,559,624 = 434,559,624 : x
  2. Step 2: Convert to fraction form
    198,220,918/434,559,624 = 434,559,624/x
  3. Step 3: Cross multiply
    198,220,918x = 434,559,624 × 434,559,624
  4. Step 4: Simplify right side
    198,220,918x = 188,842,066,811,021,376
  5. Step 5: Solve for x
    x = 188,842,066,811,021,376/198,220,918
  6. Step 6: Final answer
    x = 952,684,856.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.