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Finding the Third Proportional to 88.41 and 118.78

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Solution

The third proportional to 88.41 and 118.78 is: 159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.41 : 118.78 = 118.78 : x
  2. Step 2: Convert to fraction form
    88.41/118.78 = 118.78/x
  3. Step 3: Cross multiply
    88.41x = 118.78 × 118.78
  4. Step 4: Simplify right side
    88.41x = 14,108.99
  5. Step 5: Solve for x
    x = 14,108.99/88.41
  6. Step 6: Final answer
    x = 159.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.