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Finding the Third Proportional to 1,284.29 and 2,780.26

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Solution

The third proportional to 1,284.29 and 2,780.26 is: 6,018.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.29 : 2,780.26 = 2,780.26 : x
  2. Step 2: Convert to fraction form
    1,284.29/2,780.26 = 2,780.26/x
  3. Step 3: Cross multiply
    1,284.29x = 2,780.26 × 2,780.26
  4. Step 4: Simplify right side
    1,284.29x = 7,729,855.22
  5. Step 5: Solve for x
    x = 7,729,855.22/1,284.29
  6. Step 6: Final answer
    x = 6,018.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.