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Finding the Third Proportional to 78.66 and 114.19

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Solution

The third proportional to 78.66 and 114.19 is: 165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.66 : 114.19 = 114.19 : x
  2. Step 2: Convert to fraction form
    78.66/114.19 = 114.19/x
  3. Step 3: Cross multiply
    78.66x = 114.19 × 114.19
  4. Step 4: Simplify right side
    78.66x = 13,038.79
  5. Step 5: Solve for x
    x = 13,038.79/78.66
  6. Step 6: Final answer
    x = 165.77

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.