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Finding the Third Proportional to 303.81 and 471.34

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Solution

The third proportional to 303.81 and 471.34 is: 731.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.81 : 471.34 = 471.34 : x
  2. Step 2: Convert to fraction form
    303.81/471.34 = 471.34/x
  3. Step 3: Cross multiply
    303.81x = 471.34 × 471.34
  4. Step 4: Simplify right side
    303.81x = 222,164.93
  5. Step 5: Solve for x
    x = 222,164.93/303.81
  6. Step 6: Final answer
    x = 731.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.