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Finding the Third Proportional to 749.25 and 1,618.73

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Solution

The third proportional to 749.25 and 1,618.73 is: 3,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.25 : 1,618.73 = 1,618.73 : x
  2. Step 2: Convert to fraction form
    749.25/1,618.73 = 1,618.73/x
  3. Step 3: Cross multiply
    749.25x = 1,618.73 × 1,618.73
  4. Step 4: Simplify right side
    749.25x = 2,620,300.98
  5. Step 5: Solve for x
    x = 2,620,300.98/749.25
  6. Step 6: Final answer
    x = 3,497.23

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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.