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Finding the Third Proportional to 3,578.55 and 5,260.99

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Solution

The third proportional to 3,578.55 and 5,260.99 is: 7,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.55 : 5,260.99 = 5,260.99 : x
  2. Step 2: Convert to fraction form
    3,578.55/5,260.99 = 5,260.99/x
  3. Step 3: Cross multiply
    3,578.55x = 5,260.99 × 5,260.99
  4. Step 4: Simplify right side
    3,578.55x = 27,678,038.80
  5. Step 5: Solve for x
    x = 27,678,038.80/3,578.55
  6. Step 6: Final answer
    x = 7,734.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.