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Finding the Third Proportional to 31,227 and 40,518

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Solution

The third proportional to 31,227 and 40,518 is: 52,573.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,227 : 40,518 = 40,518 : x
  2. Step 2: Convert to fraction form
    31,227/40,518 = 40,518/x
  3. Step 3: Cross multiply
    31,227x = 40,518 × 40,518
  4. Step 4: Simplify right side
    31,227x = 1,641,708,324
  5. Step 5: Solve for x
    x = 1,641,708,324/31,227
  6. Step 6: Final answer
    x = 52,573.36

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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.