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Finding the Third Proportional to 74.03 and 115.22

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Solution

The third proportional to 74.03 and 115.22 is: 179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.03 : 115.22 = 115.22 : x
  2. Step 2: Convert to fraction form
    74.03/115.22 = 115.22/x
  3. Step 3: Cross multiply
    74.03x = 115.22 × 115.22
  4. Step 4: Simplify right side
    74.03x = 13,275.36
  5. Step 5: Solve for x
    x = 13,275.36/74.03
  6. Step 6: Final answer
    x = 179.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.