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Finding the Third Proportional to 129,206,499.75 and 198,599,484

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Solution

The third proportional to 129,206,499.75 and 198,599,484 is: 305,261,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,206,499.75 : 198,599,484 = 198,599,484 : x
  2. Step 2: Convert to fraction form
    129,206,499.75/198,599,484 = 198,599,484/x
  3. Step 3: Cross multiply
    129,206,499.75x = 198,599,484 × 198,599,484
  4. Step 4: Simplify right side
    129,206,499.75x = 39,441,755,045,066,256
  5. Step 5: Solve for x
    x = 39,441,755,045,066,256/129,206,499.75
  6. Step 6: Final answer
    x = 305,261,384.85

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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.