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Finding the Third Proportional to 31,520 and 51,591

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Solution

The third proportional to 31,520 and 51,591 is: 84,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,520 : 51,591 = 51,591 : x
  2. Step 2: Convert to fraction form
    31,520/51,591 = 51,591/x
  3. Step 3: Cross multiply
    31,520x = 51,591 × 51,591
  4. Step 4: Simplify right side
    31,520x = 2,661,631,281
  5. Step 5: Solve for x
    x = 2,661,631,281/31,520
  6. Step 6: Final answer
    x = 84,442.62

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.