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Finding the Third Proportional to 3,085.77 and 6,757.52

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Solution

The third proportional to 3,085.77 and 6,757.52 is: 14,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.77 : 6,757.52 = 6,757.52 : x
  2. Step 2: Convert to fraction form
    3,085.77/6,757.52 = 6,757.52/x
  3. Step 3: Cross multiply
    3,085.77x = 6,757.52 × 6,757.52
  4. Step 4: Simplify right side
    3,085.77x = 45,664,123.01
  5. Step 5: Solve for x
    x = 45,664,123.01/3,085.77
  6. Step 6: Final answer
    x = 14,798.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.