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Finding the Third Proportional to 1,215.75 and 2,628.25

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Solution

The third proportional to 1,215.75 and 2,628.25 is: 5,681.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.75 : 2,628.25 = 2,628.25 : x
  2. Step 2: Convert to fraction form
    1,215.75/2,628.25 = 2,628.25/x
  3. Step 3: Cross multiply
    1,215.75x = 2,628.25 × 2,628.25
  4. Step 4: Simplify right side
    1,215.75x = 6,907,698.06
  5. Step 5: Solve for x
    x = 6,907,698.06/1,215.75
  6. Step 6: Final answer
    x = 5,681.84

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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.