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Finding the Third Proportional to 1,578.38 and 3,319.88

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Solution

The third proportional to 1,578.38 and 3,319.88 is: 6,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.38 : 3,319.88 = 3,319.88 : x
  2. Step 2: Convert to fraction form
    1,578.38/3,319.88 = 3,319.88/x
  3. Step 3: Cross multiply
    1,578.38x = 3,319.88 × 3,319.88
  4. Step 4: Simplify right side
    1,578.38x = 11,021,570.02
  5. Step 5: Solve for x
    x = 11,021,570.02/1,578.38
  6. Step 6: Final answer
    x = 6,982.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.