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Finding the Third Proportional to 5,509.69 and 7,339.78

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Solution

The third proportional to 5,509.69 and 7,339.78 is: 9,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.69 : 7,339.78 = 7,339.78 : x
  2. Step 2: Convert to fraction form
    5,509.69/7,339.78 = 7,339.78/x
  3. Step 3: Cross multiply
    5,509.69x = 7,339.78 × 7,339.78
  4. Step 4: Simplify right side
    5,509.69x = 53,872,388.80
  5. Step 5: Solve for x
    x = 53,872,388.80/5,509.69
  6. Step 6: Final answer
    x = 9,777.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.