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Finding the Third Proportional to 2,290.78 and 3,276.28

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Solution

The third proportional to 2,290.78 and 3,276.28 is: 4,685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.78 : 3,276.28 = 3,276.28 : x
  2. Step 2: Convert to fraction form
    2,290.78/3,276.28 = 3,276.28/x
  3. Step 3: Cross multiply
    2,290.78x = 3,276.28 × 3,276.28
  4. Step 4: Simplify right side
    2,290.78x = 10,734,018.83
  5. Step 5: Solve for x
    x = 10,734,018.83/2,290.78
  6. Step 6: Final answer
    x = 4,685.75

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.