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Finding the Third Proportional to 100,290 and 140,195

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Solution

The third proportional to 100,290 and 140,195 is: 195,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,290 : 140,195 = 140,195 : x
  2. Step 2: Convert to fraction form
    100,290/140,195 = 140,195/x
  3. Step 3: Cross multiply
    100,290x = 140,195 × 140,195
  4. Step 4: Simplify right side
    100,290x = 19,654,638,025
  5. Step 5: Solve for x
    x = 19,654,638,025/100,290
  6. Step 6: Final answer
    x = 195,978.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.