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Finding the Third Proportional to 58.22 and 63.28

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Solution

The third proportional to 58.22 and 63.28 is: 68.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.22 : 63.28 = 63.28 : x
  2. Step 2: Convert to fraction form
    58.22/63.28 = 63.28/x
  3. Step 3: Cross multiply
    58.22x = 63.28 × 63.28
  4. Step 4: Simplify right side
    58.22x = 4,004.52
  5. Step 5: Solve for x
    x = 4,004.52/58.22
  6. Step 6: Final answer
    x = 68.78

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.