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Finding the Third Proportional to 100,148 and 155,016

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Solution

The third proportional to 100,148 and 155,016 is: 239,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,148 : 155,016 = 155,016 : x
  2. Step 2: Convert to fraction form
    100,148/155,016 = 155,016/x
  3. Step 3: Cross multiply
    100,148x = 155,016 × 155,016
  4. Step 4: Simplify right side
    100,148x = 24,029,960,256
  5. Step 5: Solve for x
    x = 24,029,960,256/100,148
  6. Step 6: Final answer
    x = 239,944.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.