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Finding the Third Proportional to 674.16 and 899.65

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Solution

The third proportional to 674.16 and 899.65 is: 1,200.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.16 : 899.65 = 899.65 : x
  2. Step 2: Convert to fraction form
    674.16/899.65 = 899.65/x
  3. Step 3: Cross multiply
    674.16x = 899.65 × 899.65
  4. Step 4: Simplify right side
    674.16x = 809,367.31
  5. Step 5: Solve for x
    x = 809,367.31/674.16
  6. Step 6: Final answer
    x = 1,200.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.