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Finding the Third Proportional to 129,690 and 198,470.25

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Solution

The third proportional to 129,690 and 198,470.25 is: 303,727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,690 : 198,470.25 = 198,470.25 : x
  2. Step 2: Convert to fraction form
    129,690/198,470.25 = 198,470.25/x
  3. Step 3: Cross multiply
    129,690x = 198,470.25 × 198,470.25
  4. Step 4: Simplify right side
    129,690x = 39,390,440,135.06
  5. Step 5: Solve for x
    x = 39,390,440,135.06/129,690
  6. Step 6: Final answer
    x = 303,727.66

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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.