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Finding the Third Proportional to 19,959.75 and 31,311

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Solution

The third proportional to 19,959.75 and 31,311 is: 49,117.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,959.75 : 31,311 = 31,311 : x
  2. Step 2: Convert to fraction form
    19,959.75/31,311 = 31,311/x
  3. Step 3: Cross multiply
    19,959.75x = 31,311 × 31,311
  4. Step 4: Simplify right side
    19,959.75x = 980,378,721
  5. Step 5: Solve for x
    x = 980,378,721/19,959.75
  6. Step 6: Final answer
    x = 49,117.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.