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Finding the Third Proportional to 34.19 and 74.31

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Solution

The third proportional to 34.19 and 74.31 is: 161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.19 : 74.31 = 74.31 : x
  2. Step 2: Convert to fraction form
    34.19/74.31 = 74.31/x
  3. Step 3: Cross multiply
    34.19x = 74.31 × 74.31
  4. Step 4: Simplify right side
    34.19x = 5,522.35
  5. Step 5: Solve for x
    x = 5,522.35/34.19
  6. Step 6: Final answer
    x = 161.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.