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Finding the Third Proportional to 78.57 and 115.28

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Solution

The third proportional to 78.57 and 115.28 is: 169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.57 : 115.28 = 115.28 : x
  2. Step 2: Convert to fraction form
    78.57/115.28 = 115.28/x
  3. Step 3: Cross multiply
    78.57x = 115.28 × 115.28
  4. Step 4: Simplify right side
    78.57x = 13,288.87
  5. Step 5: Solve for x
    x = 13,288.87/78.57
  6. Step 6: Final answer
    x = 169.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.