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Finding the Third Proportional to 4,054.78 and 5,181.19

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Solution

The third proportional to 4,054.78 and 5,181.19 is: 6,620.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054.78 : 5,181.19 = 5,181.19 : x
  2. Step 2: Convert to fraction form
    4,054.78/5,181.19 = 5,181.19/x
  3. Step 3: Cross multiply
    4,054.78x = 5,181.19 × 5,181.19
  4. Step 4: Simplify right side
    4,054.78x = 26,844,703.91
  5. Step 5: Solve for x
    x = 26,844,703.91/4,054.78
  6. Step 6: Final answer
    x = 6,620.51

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.