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Finding the Third Proportional to 98.72 and 140.48

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Solution

The third proportional to 98.72 and 140.48 is: 199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.72 : 140.48 = 140.48 : x
  2. Step 2: Convert to fraction form
    98.72/140.48 = 140.48/x
  3. Step 3: Cross multiply
    98.72x = 140.48 × 140.48
  4. Step 4: Simplify right side
    98.72x = 19,735.86
  5. Step 5: Solve for x
    x = 19,735.86/98.72
  6. Step 6: Final answer
    x = 199.92

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.