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Finding the Third Proportional to 66,766 and 135,376

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Solution

The third proportional to 66,766 and 135,376 is: 274,490.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,766 : 135,376 = 135,376 : x
  2. Step 2: Convert to fraction form
    66,766/135,376 = 135,376/x
  3. Step 3: Cross multiply
    66,766x = 135,376 × 135,376
  4. Step 4: Simplify right side
    66,766x = 18,326,661,376
  5. Step 5: Solve for x
    x = 18,326,661,376/66,766
  6. Step 6: Final answer
    x = 274,490.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.