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Finding the Third Proportional to 129,468 and 198,729.75

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Solution

The third proportional to 129,468 and 198,729.75 is: 305,044.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,468 : 198,729.75 = 198,729.75 : x
  2. Step 2: Convert to fraction form
    129,468/198,729.75 = 198,729.75/x
  3. Step 3: Cross multiply
    129,468x = 198,729.75 × 198,729.75
  4. Step 4: Simplify right side
    129,468x = 39,493,513,535.06
  5. Step 5: Solve for x
    x = 39,493,513,535.06/129,468
  6. Step 6: Final answer
    x = 305,044.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.