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Finding the Third Proportional to 66,624 and 137,880

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Solution

The third proportional to 66,624 and 137,880 is: 285,346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,624 : 137,880 = 137,880 : x
  2. Step 2: Convert to fraction form
    66,624/137,880 = 137,880/x
  3. Step 3: Cross multiply
    66,624x = 137,880 × 137,880
  4. Step 4: Simplify right side
    66,624x = 19,010,894,400
  5. Step 5: Solve for x
    x = 19,010,894,400/66,624
  6. Step 6: Final answer
    x = 285,346.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.