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Finding the Third Proportional to 270,742 and 396,876

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Solution

The third proportional to 270,742 and 396,876 is: 581,773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,742 : 396,876 = 396,876 : x
  2. Step 2: Convert to fraction form
    270,742/396,876 = 396,876/x
  3. Step 3: Cross multiply
    270,742x = 396,876 × 396,876
  4. Step 4: Simplify right side
    270,742x = 157,510,559,376
  5. Step 5: Solve for x
    x = 157,510,559,376/270,742
  6. Step 6: Final answer
    x = 581,773.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.