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Finding the Third Proportional to 78.79 and 170.23

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Solution

The third proportional to 78.79 and 170.23 is: 367.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.79 : 170.23 = 170.23 : x
  2. Step 2: Convert to fraction form
    78.79/170.23 = 170.23/x
  3. Step 3: Cross multiply
    78.79x = 170.23 × 170.23
  4. Step 4: Simplify right side
    78.79x = 28,977.08
  5. Step 5: Solve for x
    x = 28,977.08/78.79
  6. Step 6: Final answer
    x = 367.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.