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Finding the Third Proportional to 5,125.78 and 5,551.03

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Solution

The third proportional to 5,125.78 and 5,551.03 is: 6,011.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.78 : 5,551.03 = 5,551.03 : x
  2. Step 2: Convert to fraction form
    5,125.78/5,551.03 = 5,551.03/x
  3. Step 3: Cross multiply
    5,125.78x = 5,551.03 × 5,551.03
  4. Step 4: Simplify right side
    5,125.78x = 30,813,947.94
  5. Step 5: Solve for x
    x = 30,813,947.94/5,125.78
  6. Step 6: Final answer
    x = 6,011.56

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.