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Finding the Third Proportional to 129,309 and 200,691

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Solution

The third proportional to 129,309 and 200,691 is: 311,477.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,309 : 200,691 = 200,691 : x
  2. Step 2: Convert to fraction form
    129,309/200,691 = 200,691/x
  3. Step 3: Cross multiply
    129,309x = 200,691 × 200,691
  4. Step 4: Simplify right side
    129,309x = 40,276,877,481
  5. Step 5: Solve for x
    x = 40,276,877,481/129,309
  6. Step 6: Final answer
    x = 311,477.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.