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Finding the Third Proportional to 98.91 and 153.05

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Solution

The third proportional to 98.91 and 153.05 is: 236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.91 : 153.05 = 153.05 : x
  2. Step 2: Convert to fraction form
    98.91/153.05 = 153.05/x
  3. Step 3: Cross multiply
    98.91x = 153.05 × 153.05
  4. Step 4: Simplify right side
    98.91x = 23,423.35
  5. Step 5: Solve for x
    x = 23,423.35/98.91
  6. Step 6: Final answer
    x = 236.82

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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.