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Finding the Third Proportional to 58.27 and 122.86

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Solution

The third proportional to 58.27 and 122.86 is: 259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.27 : 122.86 = 122.86 : x
  2. Step 2: Convert to fraction form
    58.27/122.86 = 122.86/x
  3. Step 3: Cross multiply
    58.27x = 122.86 × 122.86
  4. Step 4: Simplify right side
    58.27x = 15,094.43
  5. Step 5: Solve for x
    x = 15,094.43/58.27
  6. Step 6: Final answer
    x = 259.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.