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Finding the Third Proportional to 100,230 and 140,988

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Solution

The third proportional to 100,230 and 140,988 is: 198,320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,230 : 140,988 = 140,988 : x
  2. Step 2: Convert to fraction form
    100,230/140,988 = 140,988/x
  3. Step 3: Cross multiply
    100,230x = 140,988 × 140,988
  4. Step 4: Simplify right side
    100,230x = 19,877,616,144
  5. Step 5: Solve for x
    x = 19,877,616,144/100,230
  6. Step 6: Final answer
    x = 198,320.03

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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.