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Finding the Third Proportional to 121,702.50 and 267,381

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Solution

The third proportional to 121,702.50 and 267,381 is: 587,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,702.50 : 267,381 = 267,381 : x
  2. Step 2: Convert to fraction form
    121,702.50/267,381 = 267,381/x
  3. Step 3: Cross multiply
    121,702.50x = 267,381 × 267,381
  4. Step 4: Simplify right side
    121,702.50x = 71,492,599,161
  5. Step 5: Solve for x
    x = 71,492,599,161/121,702.50
  6. Step 6: Final answer
    x = 587,437.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.