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Finding the Third Proportional to 98.68 and 157.08

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Solution

The third proportional to 98.68 and 157.08 is: 250.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.68 : 157.08 = 157.08 : x
  2. Step 2: Convert to fraction form
    98.68/157.08 = 157.08/x
  3. Step 3: Cross multiply
    98.68x = 157.08 × 157.08
  4. Step 4: Simplify right side
    98.68x = 24,673.54
  5. Step 5: Solve for x
    x = 24,673.54/98.68
  6. Step 6: Final answer
    x = 250.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.