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Finding the Third Proportional to 272,234,084 and 418,443,294.50

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Solution

The third proportional to 272,234,084 and 418,443,294.50 is: 643,177,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,234,084 : 418,443,294.50 = 418,443,294.50 : x
  2. Step 2: Convert to fraction form
    272,234,084/418,443,294.50 = 418,443,294.50/x
  3. Step 3: Cross multiply
    272,234,084x = 418,443,294.50 × 418,443,294.50
  4. Step 4: Simplify right side
    272,234,084x = 175,094,790,712,013,728
  5. Step 5: Solve for x
    x = 175,094,790,712,013,728/272,234,084
  6. Step 6: Final answer
    x = 643,177,327.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.