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Finding the Third Proportional to 121,853.25 and 267,248.25

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Solution

The third proportional to 121,853.25 and 267,248.25 is: 586,128.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,853.25 : 267,248.25 = 267,248.25 : x
  2. Step 2: Convert to fraction form
    121,853.25/267,248.25 = 267,248.25/x
  3. Step 3: Cross multiply
    121,853.25x = 267,248.25 × 267,248.25
  4. Step 4: Simplify right side
    121,853.25x = 71,421,627,128.06
  5. Step 5: Solve for x
    x = 71,421,627,128.06/121,853.25
  6. Step 6: Final answer
    x = 586,128.21

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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.