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Finding the Third Proportional to 100,540 and 155,778

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Solution

The third proportional to 100,540 and 155,778 is: 241,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,540 : 155,778 = 155,778 : x
  2. Step 2: Convert to fraction form
    100,540/155,778 = 155,778/x
  3. Step 3: Cross multiply
    100,540x = 155,778 × 155,778
  4. Step 4: Simplify right side
    100,540x = 24,266,785,284
  5. Step 5: Solve for x
    x = 24,266,785,284/100,540
  6. Step 6: Final answer
    x = 241,364.48

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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.