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Finding the Third Proportional to 31,624 and 66,154

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Solution

The third proportional to 31,624 and 66,154 is: 138,387.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,624 : 66,154 = 66,154 : x
  2. Step 2: Convert to fraction form
    31,624/66,154 = 66,154/x
  3. Step 3: Cross multiply
    31,624x = 66,154 × 66,154
  4. Step 4: Simplify right side
    31,624x = 4,376,351,716
  5. Step 5: Solve for x
    x = 4,376,351,716/31,624
  6. Step 6: Final answer
    x = 138,387.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.