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Finding the Third Proportional to 170,372 and 267,280

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Solution

The third proportional to 170,372 and 267,280 is: 419,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,372 : 267,280 = 267,280 : x
  2. Step 2: Convert to fraction form
    170,372/267,280 = 267,280/x
  3. Step 3: Cross multiply
    170,372x = 267,280 × 267,280
  4. Step 4: Simplify right side
    170,372x = 71,438,598,400
  5. Step 5: Solve for x
    x = 71,438,598,400/170,372
  6. Step 6: Final answer
    x = 419,309.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.