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Finding the Third Proportional to 31,578 and 48,663

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Solution

The third proportional to 31,578 and 48,663 is: 74,991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578 : 48,663 = 48,663 : x
  2. Step 2: Convert to fraction form
    31,578/48,663 = 48,663/x
  3. Step 3: Cross multiply
    31,578x = 48,663 × 48,663
  4. Step 4: Simplify right side
    31,578x = 2,368,087,569
  5. Step 5: Solve for x
    x = 2,368,087,569/31,578
  6. Step 6: Final answer
    x = 74,991.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.