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Finding the Third Proportional to 267,814 and 355,423

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Solution

The third proportional to 267,814 and 355,423 is: 471,691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,814 : 355,423 = 355,423 : x
  2. Step 2: Convert to fraction form
    267,814/355,423 = 355,423/x
  3. Step 3: Cross multiply
    267,814x = 355,423 × 355,423
  4. Step 4: Simplify right side
    267,814x = 126,325,508,929
  5. Step 5: Solve for x
    x = 126,325,508,929/267,814
  6. Step 6: Final answer
    x = 471,691.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.