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Finding the Third Proportional to 56.16 and 84.28

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Solution

The third proportional to 56.16 and 84.28 is: 126.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.16 : 84.28 = 84.28 : x
  2. Step 2: Convert to fraction form
    56.16/84.28 = 84.28/x
  3. Step 3: Cross multiply
    56.16x = 84.28 × 84.28
  4. Step 4: Simplify right side
    56.16x = 7,103.33
  5. Step 5: Solve for x
    x = 7,103.33/56.16
  6. Step 6: Final answer
    x = 126.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.