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Finding the Third Proportional to 354.38 and 782.79

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Solution

The third proportional to 354.38 and 782.79 is: 1,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.38 : 782.79 = 782.79 : x
  2. Step 2: Convert to fraction form
    354.38/782.79 = 782.79/x
  3. Step 3: Cross multiply
    354.38x = 782.79 × 782.79
  4. Step 4: Simplify right side
    354.38x = 612,758.72
  5. Step 5: Solve for x
    x = 612,758.72/354.38
  6. Step 6: Final answer
    x = 1,729.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.