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Finding the Third Proportional to 31,074 and 66,500

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Solution

The third proportional to 31,074 and 66,500 is: 142,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,074 : 66,500 = 66,500 : x
  2. Step 2: Convert to fraction form
    31,074/66,500 = 66,500/x
  3. Step 3: Cross multiply
    31,074x = 66,500 × 66,500
  4. Step 4: Simplify right side
    31,074x = 4,422,250,000
  5. Step 5: Solve for x
    x = 4,422,250,000/31,074
  6. Step 6: Final answer
    x = 142,313.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.