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Finding the Third Proportional to 354.56 and 704.06

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Solution

The third proportional to 354.56 and 704.06 is: 1,398.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.56 : 704.06 = 704.06 : x
  2. Step 2: Convert to fraction form
    354.56/704.06 = 704.06/x
  3. Step 3: Cross multiply
    354.56x = 704.06 × 704.06
  4. Step 4: Simplify right side
    354.56x = 495,704.00
  5. Step 5: Solve for x
    x = 495,704.00/354.56
  6. Step 6: Final answer
    x = 1,398.07

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.