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Finding the Third Proportional to 79.03 and 117.42

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Solution

The third proportional to 79.03 and 117.42 is: 174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.03 : 117.42 = 117.42 : x
  2. Step 2: Convert to fraction form
    79.03/117.42 = 117.42/x
  3. Step 3: Cross multiply
    79.03x = 117.42 × 117.42
  4. Step 4: Simplify right side
    79.03x = 13,787.90
  5. Step 5: Solve for x
    x = 13,787.90/79.03
  6. Step 6: Final answer
    x = 174.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.