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Finding the Third Proportional to 31,221 and 40,509

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Solution

The third proportional to 31,221 and 40,509 is: 52,560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,221 : 40,509 = 40,509 : x
  2. Step 2: Convert to fraction form
    31,221/40,509 = 40,509/x
  3. Step 3: Cross multiply
    31,221x = 40,509 × 40,509
  4. Step 4: Simplify right side
    31,221x = 1,640,979,081
  5. Step 5: Solve for x
    x = 1,640,979,081/31,221
  6. Step 6: Final answer
    x = 52,560.11

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.