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Finding the Third Proportional to 186.80 and 368.82

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Solution

The third proportional to 186.80 and 368.82 is: 728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.80 : 368.82 = 368.82 : x
  2. Step 2: Convert to fraction form
    186.80/368.82 = 368.82/x
  3. Step 3: Cross multiply
    186.80x = 368.82 × 368.82
  4. Step 4: Simplify right side
    186.80x = 136,031.30
  5. Step 5: Solve for x
    x = 136,031.30/186.80
  6. Step 6: Final answer
    x = 728.21

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.