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Finding the Third Proportional to 31,788 and 68,571

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Solution

The third proportional to 31,788 and 68,571 is: 147,916.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,788 : 68,571 = 68,571 : x
  2. Step 2: Convert to fraction form
    31,788/68,571 = 68,571/x
  3. Step 3: Cross multiply
    31,788x = 68,571 × 68,571
  4. Step 4: Simplify right side
    31,788x = 4,701,982,041
  5. Step 5: Solve for x
    x = 4,701,982,041/31,788
  6. Step 6: Final answer
    x = 147,916.89

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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.