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Finding the Third Proportional to 31,690 and 68,060

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Solution

The third proportional to 31,690 and 68,060 is: 146,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,690 : 68,060 = 68,060 : x
  2. Step 2: Convert to fraction form
    31,690/68,060 = 68,060/x
  3. Step 3: Cross multiply
    31,690x = 68,060 × 68,060
  4. Step 4: Simplify right side
    31,690x = 4,632,163,600
  5. Step 5: Solve for x
    x = 4,632,163,600/31,690
  6. Step 6: Final answer
    x = 146,171.15

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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.