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Finding the Third Proportional to 484.13 and 905.81

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Solution

The third proportional to 484.13 and 905.81 is: 1,694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.13 : 905.81 = 905.81 : x
  2. Step 2: Convert to fraction form
    484.13/905.81 = 905.81/x
  3. Step 3: Cross multiply
    484.13x = 905.81 × 905.81
  4. Step 4: Simplify right side
    484.13x = 820,496.29
  5. Step 5: Solve for x
    x = 820,496.29/484.13
  6. Step 6: Final answer
    x = 1,694.80

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.