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Finding the Third Proportional to 4,578.19 and 5,509.69

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Solution

The third proportional to 4,578.19 and 5,509.69 is: 6,630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.19 : 5,509.69 = 5,509.69 : x
  2. Step 2: Convert to fraction form
    4,578.19/5,509.69 = 5,509.69/x
  3. Step 3: Cross multiply
    4,578.19x = 5,509.69 × 5,509.69
  4. Step 4: Simplify right side
    4,578.19x = 30,356,656.35
  5. Step 5: Solve for x
    x = 30,356,656.35/4,578.19
  6. Step 6: Final answer
    x = 6,630.71

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.