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Finding the Third Proportional to 678.80 and 736.17

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Solution

The third proportional to 678.80 and 736.17 is: 798.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.80 : 736.17 = 736.17 : x
  2. Step 2: Convert to fraction form
    678.80/736.17 = 736.17/x
  3. Step 3: Cross multiply
    678.80x = 736.17 × 736.17
  4. Step 4: Simplify right side
    678.80x = 541,949.03
  5. Step 5: Solve for x
    x = 541,949.03/678.80
  6. Step 6: Final answer
    x = 798.40

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.