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Finding the Third Proportional to 358.80 and 740.39

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Solution

The third proportional to 358.80 and 740.39 is: 1,527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.80 : 740.39 = 740.39 : x
  2. Step 2: Convert to fraction form
    358.80/740.39 = 740.39/x
  3. Step 3: Cross multiply
    358.80x = 740.39 × 740.39
  4. Step 4: Simplify right side
    358.80x = 548,178.28
  5. Step 5: Solve for x
    x = 548,178.28/358.80
  6. Step 6: Final answer
    x = 1,527.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.