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Finding the Third Proportional to 180,892 and 392,920

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Solution

The third proportional to 180,892 and 392,920 is: 853,471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,892 : 392,920 = 392,920 : x
  2. Step 2: Convert to fraction form
    180,892/392,920 = 392,920/x
  3. Step 3: Cross multiply
    180,892x = 392,920 × 392,920
  4. Step 4: Simplify right side
    180,892x = 154,386,126,400
  5. Step 5: Solve for x
    x = 154,386,126,400/180,892
  6. Step 6: Final answer
    x = 853,471.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.