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Finding the Third Proportional to 31,818 and 68,880

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Solution

The third proportional to 31,818 and 68,880 is: 149,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,818 : 68,880 = 68,880 : x
  2. Step 2: Convert to fraction form
    31,818/68,880 = 68,880/x
  3. Step 3: Cross multiply
    31,818x = 68,880 × 68,880
  4. Step 4: Simplify right side
    31,818x = 4,744,454,400
  5. Step 5: Solve for x
    x = 4,744,454,400/31,818
  6. Step 6: Final answer
    x = 149,112.28

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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.