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Finding the Third Proportional to 66,508 and 145,496

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Solution

The third proportional to 66,508 and 145,496 is: 318,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,508 : 145,496 = 145,496 : x
  2. Step 2: Convert to fraction form
    66,508/145,496 = 145,496/x
  3. Step 3: Cross multiply
    66,508x = 145,496 × 145,496
  4. Step 4: Simplify right side
    66,508x = 21,169,086,016
  5. Step 5: Solve for x
    x = 21,169,086,016/66,508
  6. Step 6: Final answer
    x = 318,293.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.