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Finding the Third Proportional to 1,305.38 and 2,840.81

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Solution

The third proportional to 1,305.38 and 2,840.81 is: 6,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.38 : 2,840.81 = 2,840.81 : x
  2. Step 2: Convert to fraction form
    1,305.38/2,840.81 = 2,840.81/x
  3. Step 3: Cross multiply
    1,305.38x = 2,840.81 × 2,840.81
  4. Step 4: Simplify right side
    1,305.38x = 8,070,215.66
  5. Step 5: Solve for x
    x = 8,070,215.66/1,305.38
  6. Step 6: Final answer
    x = 6,182.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.