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Finding the Third Proportional to 1,587.09 and 3,286.20

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Solution

The third proportional to 1,587.09 and 3,286.20 is: 6,804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.09 : 3,286.20 = 3,286.20 : x
  2. Step 2: Convert to fraction form
    1,587.09/3,286.20 = 3,286.20/x
  3. Step 3: Cross multiply
    1,587.09x = 3,286.20 × 3,286.20
  4. Step 4: Simplify right side
    1,587.09x = 10,799,079.63
  5. Step 5: Solve for x
    x = 10,799,079.63/1,587.09
  6. Step 6: Final answer
    x = 6,804.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.