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Finding the Third Proportional to 278,892 and 411,750

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Solution

The third proportional to 278,892 and 411,750 is: 607,898.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,892 : 411,750 = 411,750 : x
  2. Step 2: Convert to fraction form
    278,892/411,750 = 411,750/x
  3. Step 3: Cross multiply
    278,892x = 411,750 × 411,750
  4. Step 4: Simplify right side
    278,892x = 169,538,062,500
  5. Step 5: Solve for x
    x = 169,538,062,500/278,892
  6. Step 6: Final answer
    x = 607,898.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.