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Finding the Third Proportional to 63.89 and 98.34

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Solution

The third proportional to 63.89 and 98.34 is: 151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.89 : 98.34 = 98.34 : x
  2. Step 2: Convert to fraction form
    63.89/98.34 = 98.34/x
  3. Step 3: Cross multiply
    63.89x = 98.34 × 98.34
  4. Step 4: Simplify right side
    63.89x = 9,671.35
  5. Step 5: Solve for x
    x = 9,671.35/63.89
  6. Step 6: Final answer
    x = 151.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.