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Finding the Third Proportional to 34.17 and 74.99

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Solution

The third proportional to 34.17 and 74.99 is: 164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.17 : 74.99 = 74.99 : x
  2. Step 2: Convert to fraction form
    34.17/74.99 = 74.99/x
  3. Step 3: Cross multiply
    34.17x = 74.99 × 74.99
  4. Step 4: Simplify right side
    34.17x = 5,623.24
  5. Step 5: Solve for x
    x = 5,623.24/34.17
  6. Step 6: Final answer
    x = 164.56

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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.