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Finding the Third Proportional to 267,806 and 355,416

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Solution

The third proportional to 267,806 and 355,416 is: 471,686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,806 : 355,416 = 355,416 : x
  2. Step 2: Convert to fraction form
    267,806/355,416 = 355,416/x
  3. Step 3: Cross multiply
    267,806x = 355,416 × 355,416
  4. Step 4: Simplify right side
    267,806x = 126,320,533,056
  5. Step 5: Solve for x
    x = 126,320,533,056/267,806
  6. Step 6: Final answer
    x = 471,686.72

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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.