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Finding the Third Proportional to 34 and 74.38

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Solution

The third proportional to 34 and 74.38 is: 162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34 : 74.38 = 74.38 : x
  2. Step 2: Convert to fraction form
    34/74.38 = 74.38/x
  3. Step 3: Cross multiply
    34x = 74.38 × 74.38
  4. Step 4: Simplify right side
    34x = 5,531.64
  5. Step 5: Solve for x
    x = 5,531.64/34
  6. Step 6: Final answer
    x = 162.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.