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Finding the Third Proportional to 5,098.78 and 10,750.22

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Solution

The third proportional to 5,098.78 and 10,750.22 is: 22,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.78 : 10,750.22 = 10,750.22 : x
  2. Step 2: Convert to fraction form
    5,098.78/10,750.22 = 10,750.22/x
  3. Step 3: Cross multiply
    5,098.78x = 10,750.22 × 10,750.22
  4. Step 4: Simplify right side
    5,098.78x = 115,567,203.17
  5. Step 5: Solve for x
    x = 115,567,203.17/5,098.78
  6. Step 6: Final answer
    x = 22,665.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.