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Finding the Third Proportional to 129,701.25 and 200,306.25

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Solution

The third proportional to 129,701.25 and 200,306.25 is: 309,346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,701.25 : 200,306.25 = 200,306.25 : x
  2. Step 2: Convert to fraction form
    129,701.25/200,306.25 = 200,306.25/x
  3. Step 3: Cross multiply
    129,701.25x = 200,306.25 × 200,306.25
  4. Step 4: Simplify right side
    129,701.25x = 40,122,593,789.06
  5. Step 5: Solve for x
    x = 40,122,593,789.06/129,701.25
  6. Step 6: Final answer
    x = 309,346.24

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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.