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Finding the Third Proportional to 30,892 and 66,548

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Solution

The third proportional to 30,892 and 66,548 is: 143,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892 : 66,548 = 66,548 : x
  2. Step 2: Convert to fraction form
    30,892/66,548 = 66,548/x
  3. Step 3: Cross multiply
    30,892x = 66,548 × 66,548
  4. Step 4: Simplify right side
    30,892x = 4,428,636,304
  5. Step 5: Solve for x
    x = 4,428,636,304/30,892
  6. Step 6: Final answer
    x = 143,358.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.