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Finding the Third Proportional to 177.50 and 388.23

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Solution

The third proportional to 177.50 and 388.23 is: 849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.50 : 388.23 = 388.23 : x
  2. Step 2: Convert to fraction form
    177.50/388.23 = 388.23/x
  3. Step 3: Cross multiply
    177.50x = 388.23 × 388.23
  4. Step 4: Simplify right side
    177.50x = 150,722.90
  5. Step 5: Solve for x
    x = 150,722.90/177.50
  6. Step 6: Final answer
    x = 849.12

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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.