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Finding the Third Proportional to 397.59 and 863.53

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Solution

The third proportional to 397.59 and 863.53 is: 1,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.59 : 863.53 = 863.53 : x
  2. Step 2: Convert to fraction form
    397.59/863.53 = 863.53/x
  3. Step 3: Cross multiply
    397.59x = 863.53 × 863.53
  4. Step 4: Simplify right side
    397.59x = 745,686.22
  5. Step 5: Solve for x
    x = 745,686.22/397.59
  6. Step 6: Final answer
    x = 1,875.50

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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.