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Finding the Third Proportional to 2,776.97 and 6,639.28

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Solution

The third proportional to 2,776.97 and 6,639.28 is: 15,873.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.97 : 6,639.28 = 6,639.28 : x
  2. Step 2: Convert to fraction form
    2,776.97/6,639.28 = 6,639.28/x
  3. Step 3: Cross multiply
    2,776.97x = 6,639.28 × 6,639.28
  4. Step 4: Simplify right side
    2,776.97x = 44,080,055.52
  5. Step 5: Solve for x
    x = 44,080,055.52/2,776.97
  6. Step 6: Final answer
    x = 15,873.44

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.