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Finding the Third Proportional to 1,488.25 and 3,220.75

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Solution

The third proportional to 1,488.25 and 3,220.75 is: 6,970.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.25 : 3,220.75 = 3,220.75 : x
  2. Step 2: Convert to fraction form
    1,488.25/3,220.75 = 3,220.75/x
  3. Step 3: Cross multiply
    1,488.25x = 3,220.75 × 3,220.75
  4. Step 4: Simplify right side
    1,488.25x = 10,373,230.56
  5. Step 5: Solve for x
    x = 10,373,230.56/1,488.25
  6. Step 6: Final answer
    x = 6,970.09

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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.