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Finding the Third Proportional to 129,849 and 202,974

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Solution

The third proportional to 129,849 and 202,974 is: 317,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,849 : 202,974 = 202,974 : x
  2. Step 2: Convert to fraction form
    129,849/202,974 = 202,974/x
  3. Step 3: Cross multiply
    129,849x = 202,974 × 202,974
  4. Step 4: Simplify right side
    129,849x = 41,198,444,676
  5. Step 5: Solve for x
    x = 41,198,444,676/129,849
  6. Step 6: Final answer
    x = 317,279.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.