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Finding the Third Proportional to 172,420 and 267,596

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Solution

The third proportional to 172,420 and 267,596 is: 415,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,420 : 267,596 = 267,596 : x
  2. Step 2: Convert to fraction form
    172,420/267,596 = 267,596/x
  3. Step 3: Cross multiply
    172,420x = 267,596 × 267,596
  4. Step 4: Simplify right side
    172,420x = 71,607,619,216
  5. Step 5: Solve for x
    x = 71,607,619,216/172,420
  6. Step 6: Final answer
    x = 415,309.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.