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Finding the Third Proportional to 5,125.78 and 10,545.19

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Solution

The third proportional to 5,125.78 and 10,545.19 is: 21,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.78 : 10,545.19 = 10,545.19 : x
  2. Step 2: Convert to fraction form
    5,125.78/10,545.19 = 10,545.19/x
  3. Step 3: Cross multiply
    5,125.78x = 10,545.19 × 10,545.19
  4. Step 4: Simplify right side
    5,125.78x = 111,200,979.41
  5. Step 5: Solve for x
    x = 111,200,979.41/5,125.78
  6. Step 6: Final answer
    x = 21,694.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.