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Finding the Third Proportional to 121,960 and 267,240

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Solution

The third proportional to 121,960 and 267,240 is: 585,579.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,960 : 267,240 = 267,240 : x
  2. Step 2: Convert to fraction form
    121,960/267,240 = 267,240/x
  3. Step 3: Cross multiply
    121,960x = 267,240 × 267,240
  4. Step 4: Simplify right side
    121,960x = 71,417,217,600
  5. Step 5: Solve for x
    x = 71,417,217,600/121,960
  6. Step 6: Final answer
    x = 585,579.02

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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.