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Finding the Third Proportional to 267,642 and 363,309

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Solution

The third proportional to 267,642 and 363,309 is: 493,171.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,642 : 363,309 = 363,309 : x
  2. Step 2: Convert to fraction form
    267,642/363,309 = 363,309/x
  3. Step 3: Cross multiply
    267,642x = 363,309 × 363,309
  4. Step 4: Simplify right side
    267,642x = 131,993,429,481
  5. Step 5: Solve for x
    x = 131,993,429,481/267,642
  6. Step 6: Final answer
    x = 493,171.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.