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Finding the Third Proportional to 78.49 and 118.53

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Solution

The third proportional to 78.49 and 118.53 is: 179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.49 : 118.53 = 118.53 : x
  2. Step 2: Convert to fraction form
    78.49/118.53 = 118.53/x
  3. Step 3: Cross multiply
    78.49x = 118.53 × 118.53
  4. Step 4: Simplify right side
    78.49x = 14,050.24
  5. Step 5: Solve for x
    x = 14,050.24/78.49
  6. Step 6: Final answer
    x = 179.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.