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Finding the Third Proportional to 2,574.75 and 3,133.88

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Solution

The third proportional to 2,574.75 and 3,133.88 is: 3,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.75 : 3,133.88 = 3,133.88 : x
  2. Step 2: Convert to fraction form
    2,574.75/3,133.88 = 3,133.88/x
  3. Step 3: Cross multiply
    2,574.75x = 3,133.88 × 3,133.88
  4. Step 4: Simplify right side
    2,574.75x = 9,821,172.52
  5. Step 5: Solve for x
    x = 9,821,172.52/2,574.75
  6. Step 6: Final answer
    x = 3,814.42

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.