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Finding the Third Proportional to 170,630 and 267,643

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Solution

The third proportional to 170,630 and 267,643 is: 419,813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,630 : 267,643 = 267,643 : x
  2. Step 2: Convert to fraction form
    170,630/267,643 = 267,643/x
  3. Step 3: Cross multiply
    170,630x = 267,643 × 267,643
  4. Step 4: Simplify right side
    170,630x = 71,632,775,449
  5. Step 5: Solve for x
    x = 71,632,775,449/170,630
  6. Step 6: Final answer
    x = 419,813.49

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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.