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Finding the Third Proportional to 131,288 and 267,386

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Solution

The third proportional to 131,288 and 267,386 is: 544,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,288 : 267,386 = 267,386 : x
  2. Step 2: Convert to fraction form
    131,288/267,386 = 267,386/x
  3. Step 3: Cross multiply
    131,288x = 267,386 × 267,386
  4. Step 4: Simplify right side
    131,288x = 71,495,272,996
  5. Step 5: Solve for x
    x = 71,495,272,996/131,288
  6. Step 6: Final answer
    x = 544,568.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.