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Finding the Third Proportional to 121,859 and 267,259

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Solution

The third proportional to 121,859 and 267,259 is: 586,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,859 : 267,259 = 267,259 : x
  2. Step 2: Convert to fraction form
    121,859/267,259 = 267,259/x
  3. Step 3: Cross multiply
    121,859x = 267,259 × 267,259
  4. Step 4: Simplify right side
    121,859x = 71,427,373,081
  5. Step 5: Solve for x
    x = 71,427,373,081/121,859
  6. Step 6: Final answer
    x = 586,147.70

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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.