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Finding the Third Proportional to 4,078.69 and 6,129.42

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Solution

The third proportional to 4,078.69 and 6,129.42 is: 9,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.69 : 6,129.42 = 6,129.42 : x
  2. Step 2: Convert to fraction form
    4,078.69/6,129.42 = 6,129.42/x
  3. Step 3: Cross multiply
    4,078.69x = 6,129.42 × 6,129.42
  4. Step 4: Simplify right side
    4,078.69x = 37,569,812.52
  5. Step 5: Solve for x
    x = 37,569,812.52/4,078.69
  6. Step 6: Final answer
    x = 9,211.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.