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Finding the Third Proportional to 21,080 and 31,759

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Solution

The third proportional to 21,080 and 31,759 is: 47,847.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,080 : 31,759 = 31,759 : x
  2. Step 2: Convert to fraction form
    21,080/31,759 = 31,759/x
  3. Step 3: Cross multiply
    21,080x = 31,759 × 31,759
  4. Step 4: Simplify right side
    21,080x = 1,008,634,081
  5. Step 5: Solve for x
    x = 1,008,634,081/21,080
  6. Step 6: Final answer
    x = 47,847.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.