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Finding the Third Proportional to 100,147 and 140,865

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Solution

The third proportional to 100,147 and 140,865 is: 198,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,147 : 140,865 = 140,865 : x
  2. Step 2: Convert to fraction form
    100,147/140,865 = 140,865/x
  3. Step 3: Cross multiply
    100,147x = 140,865 × 140,865
  4. Step 4: Simplify right side
    100,147x = 19,842,948,225
  5. Step 5: Solve for x
    x = 19,842,948,225/100,147
  6. Step 6: Final answer
    x = 198,138.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.