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Finding the Third Proportional to 66,892 and 141,464

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Solution

The third proportional to 66,892 and 141,464 is: 299,169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,892 : 141,464 = 141,464 : x
  2. Step 2: Convert to fraction form
    66,892/141,464 = 141,464/x
  3. Step 3: Cross multiply
    66,892x = 141,464 × 141,464
  4. Step 4: Simplify right side
    66,892x = 20,012,063,296
  5. Step 5: Solve for x
    x = 20,012,063,296/66,892
  6. Step 6: Final answer
    x = 299,169.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.