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Finding the Third Proportional to 78.34 and 121.26

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Solution

The third proportional to 78.34 and 121.26 is: 187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.34 : 121.26 = 121.26 : x
  2. Step 2: Convert to fraction form
    78.34/121.26 = 121.26/x
  3. Step 3: Cross multiply
    78.34x = 121.26 × 121.26
  4. Step 4: Simplify right side
    78.34x = 14,704.64
  5. Step 5: Solve for x
    x = 14,704.64/78.34
  6. Step 6: Final answer
    x = 187.70

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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.