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Finding the Third Proportional to 20,330 and 31,292

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Solution

The third proportional to 20,330 and 31,292 is: 48,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,330 : 31,292 = 31,292 : x
  2. Step 2: Convert to fraction form
    20,330/31,292 = 31,292/x
  3. Step 3: Cross multiply
    20,330x = 31,292 × 31,292
  4. Step 4: Simplify right side
    20,330x = 979,189,264
  5. Step 5: Solve for x
    x = 979,189,264/20,330
  6. Step 6: Final answer
    x = 48,164.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.