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Finding the Third Proportional to 129,703 and 200,309

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Solution

The third proportional to 129,703 and 200,309 is: 309,350.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,703 : 200,309 = 200,309 : x
  2. Step 2: Convert to fraction form
    129,703/200,309 = 200,309/x
  3. Step 3: Cross multiply
    129,703x = 200,309 × 200,309
  4. Step 4: Simplify right side
    129,703x = 40,123,695,481
  5. Step 5: Solve for x
    x = 40,123,695,481/129,703
  6. Step 6: Final answer
    x = 309,350.56

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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.