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Finding the Third Proportional to 121,855 and 267,253

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Solution

The third proportional to 121,855 and 267,253 is: 586,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,855 : 267,253 = 267,253 : x
  2. Step 2: Convert to fraction form
    121,855/267,253 = 267,253/x
  3. Step 3: Cross multiply
    121,855x = 267,253 × 267,253
  4. Step 4: Simplify right side
    121,855x = 71,424,166,009
  5. Step 5: Solve for x
    x = 71,424,166,009/121,855
  6. Step 6: Final answer
    x = 586,140.63

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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.