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Finding the Third Proportional to 63,901 and 140,649

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Solution

The third proportional to 63,901 and 140,649 is: 309,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,901 : 140,649 = 140,649 : x
  2. Step 2: Convert to fraction form
    63,901/140,649 = 140,649/x
  3. Step 3: Cross multiply
    63,901x = 140,649 × 140,649
  4. Step 4: Simplify right side
    63,901x = 19,782,141,201
  5. Step 5: Solve for x
    x = 19,782,141,201/63,901
  6. Step 6: Final answer
    x = 309,574.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.