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Finding the Third Proportional to 31,151 and 48,959

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Solution

The third proportional to 31,151 and 48,959 is: 76,947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,151 : 48,959 = 48,959 : x
  2. Step 2: Convert to fraction form
    31,151/48,959 = 48,959/x
  3. Step 3: Cross multiply
    31,151x = 48,959 × 48,959
  4. Step 4: Simplify right side
    31,151x = 2,396,983,681
  5. Step 5: Solve for x
    x = 2,396,983,681/31,151
  6. Step 6: Final answer
    x = 76,947.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.