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Finding the Third Proportional to 98.75 and 158.13

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Solution

The third proportional to 98.75 and 158.13 is: 253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.75 : 158.13 = 158.13 : x
  2. Step 2: Convert to fraction form
    98.75/158.13 = 158.13/x
  3. Step 3: Cross multiply
    98.75x = 158.13 × 158.13
  4. Step 4: Simplify right side
    98.75x = 25,003.52
  5. Step 5: Solve for x
    x = 25,003.52/98.75
  6. Step 6: Final answer
    x = 253.20

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.