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Finding the Third Proportional to 2,451.83 and 5,377.80

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Solution

The third proportional to 2,451.83 and 5,377.80 is: 11,795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.83 : 5,377.80 = 5,377.80 : x
  2. Step 2: Convert to fraction form
    2,451.83/5,377.80 = 5,377.80/x
  3. Step 3: Cross multiply
    2,451.83x = 5,377.80 × 5,377.80
  4. Step 4: Simplify right side
    2,451.83x = 28,920,720.24
  5. Step 5: Solve for x
    x = 28,920,720.24/2,451.83
  6. Step 6: Final answer
    x = 11,795.56

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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.