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Finding the Third Proportional to 20,479.50 and 31,311

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Solution

The third proportional to 20,479.50 and 31,311 is: 47,871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,479.50 : 31,311 = 31,311 : x
  2. Step 2: Convert to fraction form
    20,479.50/31,311 = 31,311/x
  3. Step 3: Cross multiply
    20,479.50x = 31,311 × 31,311
  4. Step 4: Simplify right side
    20,479.50x = 980,378,721
  5. Step 5: Solve for x
    x = 980,378,721/20,479.50
  6. Step 6: Final answer
    x = 47,871.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.