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Finding the Third Proportional to 31,591 and 68,244

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Solution

The third proportional to 31,591 and 68,244 is: 147,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,591 : 68,244 = 68,244 : x
  2. Step 2: Convert to fraction form
    31,591/68,244 = 68,244/x
  3. Step 3: Cross multiply
    31,591x = 68,244 × 68,244
  4. Step 4: Simplify right side
    31,591x = 4,657,243,536
  5. Step 5: Solve for x
    x = 4,657,243,536/31,591
  6. Step 6: Final answer
    x = 147,423.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.