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Finding the Third Proportional to 218,157,098 and 329,497,944

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Solution

The third proportional to 218,157,098 and 329,497,944 is: 497,663,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,157,098 : 329,497,944 = 329,497,944 : x
  2. Step 2: Convert to fraction form
    218,157,098/329,497,944 = 329,497,944/x
  3. Step 3: Cross multiply
    218,157,098x = 329,497,944 × 329,497,944
  4. Step 4: Simplify right side
    218,157,098x = 108,568,895,100,227,136
  5. Step 5: Solve for x
    x = 108,568,895,100,227,136/218,157,098
  6. Step 6: Final answer
    x = 497,663,821.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.