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Finding the Third Proportional to 398.63 and 864.38

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Solution

The third proportional to 398.63 and 864.38 is: 1,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.63 : 864.38 = 864.38 : x
  2. Step 2: Convert to fraction form
    398.63/864.38 = 864.38/x
  3. Step 3: Cross multiply
    398.63x = 864.38 × 864.38
  4. Step 4: Simplify right side
    398.63x = 747,144.14
  5. Step 5: Solve for x
    x = 747,144.14/398.63
  6. Step 6: Final answer
    x = 1,874.30

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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.