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Finding the Third Proportional to 267,810 and 355,422

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Solution

The third proportional to 267,810 and 355,422 is: 471,695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,810 : 355,422 = 355,422 : x
  2. Step 2: Convert to fraction form
    267,810/355,422 = 355,422/x
  3. Step 3: Cross multiply
    267,810x = 355,422 × 355,422
  4. Step 4: Simplify right side
    267,810x = 126,324,798,084
  5. Step 5: Solve for x
    x = 126,324,798,084/267,810
  6. Step 6: Final answer
    x = 471,695.60

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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.