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Finding the Third Proportional to 4,801.78 and 11,050.17

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Solution

The third proportional to 4,801.78 and 11,050.17 is: 25,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.78 : 11,050.17 = 11,050.17 : x
  2. Step 2: Convert to fraction form
    4,801.78/11,050.17 = 11,050.17/x
  3. Step 3: Cross multiply
    4,801.78x = 11,050.17 × 11,050.17
  4. Step 4: Simplify right side
    4,801.78x = 122,106,298.47
  5. Step 5: Solve for x
    x = 122,106,298.47/4,801.78
  6. Step 6: Final answer
    x = 25,429.38

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.