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Finding the Third Proportional to 31,229 and 45,142

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Solution

The third proportional to 31,229 and 45,142 is: 65,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,229 : 45,142 = 45,142 : x
  2. Step 2: Convert to fraction form
    31,229/45,142 = 45,142/x
  3. Step 3: Cross multiply
    31,229x = 45,142 × 45,142
  4. Step 4: Simplify right side
    31,229x = 2,037,800,164
  5. Step 5: Solve for x
    x = 2,037,800,164/31,229
  6. Step 6: Final answer
    x = 65,253.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.