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Finding the Third Proportional to 358.31 and 581.91

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Solution

The third proportional to 358.31 and 581.91 is: 945.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.31 : 581.91 = 581.91 : x
  2. Step 2: Convert to fraction form
    358.31/581.91 = 581.91/x
  3. Step 3: Cross multiply
    358.31x = 581.91 × 581.91
  4. Step 4: Simplify right side
    358.31x = 338,614.88
  5. Step 5: Solve for x
    x = 338,614.88/358.31
  6. Step 6: Final answer
    x = 945.03

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.