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Finding the Third Proportional to 129,466 and 200,919

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Solution

The third proportional to 129,466 and 200,919 is: 311,807.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,466 : 200,919 = 200,919 : x
  2. Step 2: Convert to fraction form
    129,466/200,919 = 200,919/x
  3. Step 3: Cross multiply
    129,466x = 200,919 × 200,919
  4. Step 4: Simplify right side
    129,466x = 40,368,444,561
  5. Step 5: Solve for x
    x = 40,368,444,561/129,466
  6. Step 6: Final answer
    x = 311,807.31

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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.