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Finding the Third Proportional to 278,723.25 and 411,523.88

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Solution

The third proportional to 278,723.25 and 411,523.88 is: 607,598.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,723.25 : 411,523.88 = 411,523.88 : x
  2. Step 2: Convert to fraction form
    278,723.25/411,523.88 = 411,523.88/x
  3. Step 3: Cross multiply
    278,723.25x = 411,523.88 × 411,523.88
  4. Step 4: Simplify right side
    278,723.25x = 169,351,899,695.02
  5. Step 5: Solve for x
    x = 169,351,899,695.02/278,723.25
  6. Step 6: Final answer
    x = 607,598.76

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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.