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Finding the Third Proportional to 31,377 and 48,918

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Solution

The third proportional to 31,377 and 48,918 is: 76,265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,377 : 48,918 = 48,918 : x
  2. Step 2: Convert to fraction form
    31,377/48,918 = 48,918/x
  3. Step 3: Cross multiply
    31,377x = 48,918 × 48,918
  4. Step 4: Simplify right side
    31,377x = 2,392,970,724
  5. Step 5: Solve for x
    x = 2,392,970,724/31,377
  6. Step 6: Final answer
    x = 76,265.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.