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Finding the Third Proportional to 56.38 and 122.94

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Solution

The third proportional to 56.38 and 122.94 is: 268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.38 : 122.94 = 122.94 : x
  2. Step 2: Convert to fraction form
    56.38/122.94 = 122.94/x
  3. Step 3: Cross multiply
    56.38x = 122.94 × 122.94
  4. Step 4: Simplify right side
    56.38x = 15,113.63
  5. Step 5: Solve for x
    x = 15,113.63/56.38
  6. Step 6: Final answer
    x = 268.09

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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.