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Finding the Third Proportional to 267,634.13 and 391,403.81

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Solution

The third proportional to 267,634.13 and 391,403.81 is: 572,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,634.13 : 391,403.81 = 391,403.81 : x
  2. Step 2: Convert to fraction form
    267,634.13/391,403.81 = 391,403.81/x
  3. Step 3: Cross multiply
    267,634.13x = 391,403.81 × 391,403.81
  4. Step 4: Simplify right side
    267,634.13x = 153,196,944,439.54
  5. Step 5: Solve for x
    x = 153,196,944,439.54/267,634.13
  6. Step 6: Final answer
    x = 572,411.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.