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Finding the Third Proportional to 20,731.88 and 31,201.88

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Solution

The third proportional to 20,731.88 and 31,201.88 is: 46,959.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731.88 : 31,201.88 = 31,201.88 : x
  2. Step 2: Convert to fraction form
    20,731.88/31,201.88 = 31,201.88/x
  3. Step 3: Cross multiply
    20,731.88x = 31,201.88 × 31,201.88
  4. Step 4: Simplify right side
    20,731.88x = 973,557,003.52
  5. Step 5: Solve for x
    x = 973,557,003.52/20,731.88
  6. Step 6: Final answer
    x = 46,959.43

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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.