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Finding the Third Proportional to 20,416 and 31,228

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Solution

The third proportional to 20,416 and 31,228 is: 47,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,416 : 31,228 = 31,228 : x
  2. Step 2: Convert to fraction form
    20,416/31,228 = 31,228/x
  3. Step 3: Cross multiply
    20,416x = 31,228 × 31,228
  4. Step 4: Simplify right side
    20,416x = 975,187,984
  5. Step 5: Solve for x
    x = 975,187,984/20,416
  6. Step 6: Final answer
    x = 47,765.87

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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.