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Finding the Third Proportional to 393.63 and 862

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Solution

The third proportional to 393.63 and 862 is: 1,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.63 : 862 = 862 : x
  2. Step 2: Convert to fraction form
    393.63/862 = 862/x
  3. Step 3: Cross multiply
    393.63x = 862 × 862
  4. Step 4: Simplify right side
    393.63x = 743,044
  5. Step 5: Solve for x
    x = 743,044/393.63
  6. Step 6: Final answer
    x = 1,887.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.