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Finding the Third Proportional to 168,810 and 267,309

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Solution

The third proportional to 168,810 and 267,309 is: 423,281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,810 : 267,309 = 267,309 : x
  2. Step 2: Convert to fraction form
    168,810/267,309 = 267,309/x
  3. Step 3: Cross multiply
    168,810x = 267,309 × 267,309
  4. Step 4: Simplify right side
    168,810x = 71,454,101,481
  5. Step 5: Solve for x
    x = 71,454,101,481/168,810
  6. Step 6: Final answer
    x = 423,281.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.