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Finding the Third Proportional to 378.11 and 704.00

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Solution

The third proportional to 378.11 and 704.00 is: 1,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.11 : 704.00 = 704.00 : x
  2. Step 2: Convert to fraction form
    378.11/704.00 = 704.00/x
  3. Step 3: Cross multiply
    378.11x = 704.00 × 704.00
  4. Step 4: Simplify right side
    378.11x = 495,621.50
  5. Step 5: Solve for x
    x = 495,621.50/378.11
  6. Step 6: Final answer
    x = 1,310.80

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.