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Finding the Third Proportional to 98.02 and 151.80

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Solution

The third proportional to 98.02 and 151.80 is: 235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.02 : 151.80 = 151.80 : x
  2. Step 2: Convert to fraction form
    98.02/151.80 = 151.80/x
  3. Step 3: Cross multiply
    98.02x = 151.80 × 151.80
  4. Step 4: Simplify right side
    98.02x = 23,044.66
  5. Step 5: Solve for x
    x = 23,044.66/98.02
  6. Step 6: Final answer
    x = 235.11

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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.