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Finding the Third Proportional to 20,031.19 and 31,139.44

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Solution

The third proportional to 20,031.19 and 31,139.44 is: 48,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.19 : 31,139.44 = 31,139.44 : x
  2. Step 2: Convert to fraction form
    20,031.19/31,139.44 = 31,139.44/x
  3. Step 3: Cross multiply
    20,031.19x = 31,139.44 × 31,139.44
  4. Step 4: Simplify right side
    20,031.19x = 969,664,567.82
  5. Step 5: Solve for x
    x = 969,664,567.82/20,031.19
  6. Step 6: Final answer
    x = 48,407.74

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1.5x scale

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.