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Finding the Third Proportional to 177.88 and 386.13

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Solution

The third proportional to 177.88 and 386.13 is: 838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.88 : 386.13 = 386.13 : x
  2. Step 2: Convert to fraction form
    177.88/386.13 = 386.13/x
  3. Step 3: Cross multiply
    177.88x = 386.13 × 386.13
  4. Step 4: Simplify right side
    177.88x = 149,092.52
  5. Step 5: Solve for x
    x = 149,092.52/177.88
  6. Step 6: Final answer
    x = 838.19

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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.