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Finding the Third Proportional to 31,486 and 48,744

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Solution

The third proportional to 31,486 and 48,744 is: 75,461.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,486 : 48,744 = 48,744 : x
  2. Step 2: Convert to fraction form
    31,486/48,744 = 48,744/x
  3. Step 3: Cross multiply
    31,486x = 48,744 × 48,744
  4. Step 4: Simplify right side
    31,486x = 2,375,977,536
  5. Step 5: Solve for x
    x = 2,375,977,536/31,486
  6. Step 6: Final answer
    x = 75,461.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.