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Finding the Third Proportional to 387.75 and 862.03

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Solution

The third proportional to 387.75 and 862.03 is: 1,916.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.75 : 862.03 = 862.03 : x
  2. Step 2: Convert to fraction form
    387.75/862.03 = 862.03/x
  3. Step 3: Cross multiply
    387.75x = 862.03 × 862.03
  4. Step 4: Simplify right side
    387.75x = 743,097.88
  5. Step 5: Solve for x
    x = 743,097.88/387.75
  6. Step 6: Final answer
    x = 1,916.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.