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Finding the Third Proportional to 20,031.75 and 31,140

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Solution

The third proportional to 20,031.75 and 31,140 is: 48,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.75 : 31,140 = 31,140 : x
  2. Step 2: Convert to fraction form
    20,031.75/31,140 = 31,140/x
  3. Step 3: Cross multiply
    20,031.75x = 31,140 × 31,140
  4. Step 4: Simplify right side
    20,031.75x = 969,699,600
  5. Step 5: Solve for x
    x = 969,699,600/20,031.75
  6. Step 6: Final answer
    x = 48,408.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.