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Finding the Third Proportional to 20,491 and 31,331

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Solution

The third proportional to 20,491 and 31,331 is: 47,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,491 : 31,331 = 31,331 : x
  2. Step 2: Convert to fraction form
    20,491/31,331 = 31,331/x
  3. Step 3: Cross multiply
    20,491x = 31,331 × 31,331
  4. Step 4: Simplify right side
    20,491x = 981,631,561
  5. Step 5: Solve for x
    x = 981,631,561/20,491
  6. Step 6: Final answer
    x = 47,905.50

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1.5x scale

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.