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Finding the Third Proportional to 2,050.78 and 4,393.31

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Solution

The third proportional to 2,050.78 and 4,393.31 is: 9,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.78 : 4,393.31 = 4,393.31 : x
  2. Step 2: Convert to fraction form
    2,050.78/4,393.31 = 4,393.31/x
  3. Step 3: Cross multiply
    2,050.78x = 4,393.31 × 4,393.31
  4. Step 4: Simplify right side
    2,050.78x = 19,301,194.72
  5. Step 5: Solve for x
    x = 19,301,194.72/2,050.78
  6. Step 6: Final answer
    x = 9,411.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.