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Finding the Third Proportional to 122,240 and 267,520

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Solution

The third proportional to 122,240 and 267,520 is: 585,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,240 : 267,520 = 267,520 : x
  2. Step 2: Convert to fraction form
    122,240/267,520 = 267,520/x
  3. Step 3: Cross multiply
    122,240x = 267,520 × 267,520
  4. Step 4: Simplify right side
    122,240x = 71,566,950,400
  5. Step 5: Solve for x
    x = 71,566,950,400/122,240
  6. Step 6: Final answer
    x = 585,462.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.