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Finding the Third Proportional to 1,239.66 and 2,582.06

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Solution

The third proportional to 1,239.66 and 2,582.06 is: 5,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.66 : 2,582.06 = 2,582.06 : x
  2. Step 2: Convert to fraction form
    1,239.66/2,582.06 = 2,582.06/x
  3. Step 3: Cross multiply
    1,239.66x = 2,582.06 × 2,582.06
  4. Step 4: Simplify right side
    1,239.66x = 6,667,046.75
  5. Step 5: Solve for x
    x = 6,667,046.75/1,239.66
  6. Step 6: Final answer
    x = 5,378.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.