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Finding the Third Proportional to 74.99 and 155.18

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Solution

The third proportional to 74.99 and 155.18 is: 321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.99 : 155.18 = 155.18 : x
  2. Step 2: Convert to fraction form
    74.99/155.18 = 155.18/x
  3. Step 3: Cross multiply
    74.99x = 155.18 × 155.18
  4. Step 4: Simplify right side
    74.99x = 24,080.74
  5. Step 5: Solve for x
    x = 24,080.74/74.99
  6. Step 6: Final answer
    x = 321.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.