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Finding the Third Proportional to 38.19 and 58.19

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Solution

The third proportional to 38.19 and 58.19 is: 88.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.19 : 58.19 = 58.19 : x
  2. Step 2: Convert to fraction form
    38.19/58.19 = 58.19/x
  3. Step 3: Cross multiply
    38.19x = 58.19 × 58.19
  4. Step 4: Simplify right side
    38.19x = 3,385.79
  5. Step 5: Solve for x
    x = 3,385.79/38.19
  6. Step 6: Final answer
    x = 88.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.