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Finding the Third Proportional to 3,752.06 and 4,883.81

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Solution

The third proportional to 3,752.06 and 4,883.81 is: 6,356.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.06 : 4,883.81 = 4,883.81 : x
  2. Step 2: Convert to fraction form
    3,752.06/4,883.81 = 4,883.81/x
  3. Step 3: Cross multiply
    3,752.06x = 4,883.81 × 4,883.81
  4. Step 4: Simplify right side
    3,752.06x = 23,851,624.54
  5. Step 5: Solve for x
    x = 23,851,624.54/3,752.06
  6. Step 6: Final answer
    x = 6,356.94

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.