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Finding the Third Proportional to 31,720 and 68,048

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Solution

The third proportional to 31,720 and 68,048 is: 145,981.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,720 : 68,048 = 68,048 : x
  2. Step 2: Convert to fraction form
    31,720/68,048 = 68,048/x
  3. Step 3: Cross multiply
    31,720x = 68,048 × 68,048
  4. Step 4: Simplify right side
    31,720x = 4,630,530,304
  5. Step 5: Solve for x
    x = 4,630,530,304/31,720
  6. Step 6: Final answer
    x = 145,981.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.