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Finding the Third Proportional to 56.16 and 122.53

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Solution

The third proportional to 56.16 and 122.53 is: 267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.16 : 122.53 = 122.53 : x
  2. Step 2: Convert to fraction form
    56.16/122.53 = 122.53/x
  3. Step 3: Cross multiply
    56.16x = 122.53 × 122.53
  4. Step 4: Simplify right side
    56.16x = 15,013.91
  5. Step 5: Solve for x
    x = 15,013.91/56.16
  6. Step 6: Final answer
    x = 267.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.