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Finding the Third Proportional to 20,005 and 31,229

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Solution

The third proportional to 20,005 and 31,229 is: 48,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005 : 31,229 = 31,229 : x
  2. Step 2: Convert to fraction form
    20,005/31,229 = 31,229/x
  3. Step 3: Cross multiply
    20,005x = 31,229 × 31,229
  4. Step 4: Simplify right side
    20,005x = 975,250,441
  5. Step 5: Solve for x
    x = 975,250,441/20,005
  6. Step 6: Final answer
    x = 48,750.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.