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Finding the Third Proportional to 129,612 and 202,883

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Solution

The third proportional to 129,612 and 202,883 is: 317,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,612 : 202,883 = 202,883 : x
  2. Step 2: Convert to fraction form
    129,612/202,883 = 202,883/x
  3. Step 3: Cross multiply
    129,612x = 202,883 × 202,883
  4. Step 4: Simplify right side
    129,612x = 41,161,511,689
  5. Step 5: Solve for x
    x = 41,161,511,689/129,612
  6. Step 6: Final answer
    x = 317,574.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.