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Finding the Third Proportional to 31,979 and 48,415

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Solution

The third proportional to 31,979 and 48,415 is: 73,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,979 : 48,415 = 48,415 : x
  2. Step 2: Convert to fraction form
    31,979/48,415 = 48,415/x
  3. Step 3: Cross multiply
    31,979x = 48,415 × 48,415
  4. Step 4: Simplify right side
    31,979x = 2,344,012,225
  5. Step 5: Solve for x
    x = 2,344,012,225/31,979
  6. Step 6: Final answer
    x = 73,298.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.