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Finding the Third Proportional to 409.38 and 608.38

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Solution

The third proportional to 409.38 and 608.38 is: 904.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.38 : 608.38 = 608.38 : x
  2. Step 2: Convert to fraction form
    409.38/608.38 = 608.38/x
  3. Step 3: Cross multiply
    409.38x = 608.38 × 608.38
  4. Step 4: Simplify right side
    409.38x = 370,120.14
  5. Step 5: Solve for x
    x = 370,120.14/409.38
  6. Step 6: Final answer
    x = 904.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.