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Finding the Third Proportional to 58.27 and 77.30

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Solution

The third proportional to 58.27 and 77.30 is: 102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.27 : 77.30 = 77.30 : x
  2. Step 2: Convert to fraction form
    58.27/77.30 = 77.30/x
  3. Step 3: Cross multiply
    58.27x = 77.30 × 77.30
  4. Step 4: Simplify right side
    58.27x = 5,974.81
  5. Step 5: Solve for x
    x = 5,974.81/58.27
  6. Step 6: Final answer
    x = 102.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.