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Finding the Third Proportional to 8,629.88 and 13,260.38

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Solution

The third proportional to 8,629.88 and 13,260.38 is: 20,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,629.88 : 13,260.38 = 13,260.38 : x
  2. Step 2: Convert to fraction form
    8,629.88/13,260.38 = 13,260.38/x
  3. Step 3: Cross multiply
    8,629.88x = 13,260.38 × 13,260.38
  4. Step 4: Simplify right side
    8,629.88x = 175,837,545.14
  5. Step 5: Solve for x
    x = 175,837,545.14/8,629.88
  6. Step 6: Final answer
    x = 20,375.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.