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Finding the Third Proportional to 57.16 and 76.78

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Solution

The third proportional to 57.16 and 76.78 is: 103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.16 : 76.78 = 76.78 : x
  2. Step 2: Convert to fraction form
    57.16/76.78 = 76.78/x
  3. Step 3: Cross multiply
    57.16x = 76.78 × 76.78
  4. Step 4: Simplify right side
    57.16x = 5,895.36
  5. Step 5: Solve for x
    x = 5,895.36/57.16
  6. Step 6: Final answer
    x = 103.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.