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Finding the Third Proportional to 274,892 and 420,514

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Solution

The third proportional to 274,892 and 420,514 is: 643,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,892 : 420,514 = 420,514 : x
  2. Step 2: Convert to fraction form
    274,892/420,514 = 420,514/x
  3. Step 3: Cross multiply
    274,892x = 420,514 × 420,514
  4. Step 4: Simplify right side
    274,892x = 176,832,024,196
  5. Step 5: Solve for x
    x = 176,832,024,196/274,892
  6. Step 6: Final answer
    x = 643,278.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.