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Finding the Third Proportional to 278,734 and 420,712

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Solution

The third proportional to 278,734 and 420,712 is: 635,008.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,734 : 420,712 = 420,712 : x
  2. Step 2: Convert to fraction form
    278,734/420,712 = 420,712/x
  3. Step 3: Cross multiply
    278,734x = 420,712 × 420,712
  4. Step 4: Simplify right side
    278,734x = 176,998,586,944
  5. Step 5: Solve for x
    x = 176,998,586,944/278,734
  6. Step 6: Final answer
    x = 635,008.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.