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Finding the Third Proportional to 674.05 and 905.77

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Solution

The third proportional to 674.05 and 905.77 is: 1,217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.05 : 905.77 = 905.77 : x
  2. Step 2: Convert to fraction form
    674.05/905.77 = 905.77/x
  3. Step 3: Cross multiply
    674.05x = 905.77 × 905.77
  4. Step 4: Simplify right side
    674.05x = 820,411.37
  5. Step 5: Solve for x
    x = 820,411.37/674.05
  6. Step 6: Final answer
    x = 1,217.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.