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Finding the Third Proportional to 172,424 and 267,602

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Solution

The third proportional to 172,424 and 267,602 is: 415,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,424 : 267,602 = 267,602 : x
  2. Step 2: Convert to fraction form
    172,424/267,602 = 267,602/x
  3. Step 3: Cross multiply
    172,424x = 267,602 × 267,602
  4. Step 4: Simplify right side
    172,424x = 71,610,830,404
  5. Step 5: Solve for x
    x = 71,610,830,404/172,424
  6. Step 6: Final answer
    x = 415,318.23

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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.