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Finding the Third Proportional to 129,205,098 and 198,597,519

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Solution

The third proportional to 129,205,098 and 198,597,519 is: 305,258,655.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205,098 : 198,597,519 = 198,597,519 : x
  2. Step 2: Convert to fraction form
    129,205,098/198,597,519 = 198,597,519/x
  3. Step 3: Cross multiply
    129,205,098x = 198,597,519 × 198,597,519
  4. Step 4: Simplify right side
    129,205,098x = 39,440,974,552,955,360
  5. Step 5: Solve for x
    x = 39,440,974,552,955,360/129,205,098
  6. Step 6: Final answer
    x = 305,258,655.92

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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.