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Finding the Third Proportional to 31,236 and 63,629

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Solution

The third proportional to 31,236 and 63,629 is: 129,614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,236 : 63,629 = 63,629 : x
  2. Step 2: Convert to fraction form
    31,236/63,629 = 63,629/x
  3. Step 3: Cross multiply
    31,236x = 63,629 × 63,629
  4. Step 4: Simplify right side
    31,236x = 4,048,649,641
  5. Step 5: Solve for x
    x = 4,048,649,641/31,236
  6. Step 6: Final answer
    x = 129,614.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.