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Finding the Third Proportional to 31,722 and 36,708

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Solution

The third proportional to 31,722 and 36,708 is: 42,477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,722 : 36,708 = 36,708 : x
  2. Step 2: Convert to fraction form
    31,722/36,708 = 36,708/x
  3. Step 3: Cross multiply
    31,722x = 36,708 × 36,708
  4. Step 4: Simplify right side
    31,722x = 1,347,477,264
  5. Step 5: Solve for x
    x = 1,347,477,264/31,722
  6. Step 6: Final answer
    x = 42,477.69

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.