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Finding the Third Proportional to 4,551.19 and 6,112.97

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Solution

The third proportional to 4,551.19 and 6,112.97 is: 8,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.19 : 6,112.97 = 6,112.97 : x
  2. Step 2: Convert to fraction form
    4,551.19/6,112.97 = 6,112.97/x
  3. Step 3: Cross multiply
    4,551.19x = 6,112.97 × 6,112.97
  4. Step 4: Simplify right side
    4,551.19x = 37,368,386.94
  5. Step 5: Solve for x
    x = 37,368,386.94/4,551.19
  6. Step 6: Final answer
    x = 8,210.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.