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Finding the Third Proportional to 289,919.25 and 408,270.38

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Solution

The third proportional to 289,919.25 and 408,270.38 is: 574,934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,919.25 : 408,270.38 = 408,270.38 : x
  2. Step 2: Convert to fraction form
    289,919.25/408,270.38 = 408,270.38/x
  3. Step 3: Cross multiply
    289,919.25x = 408,270.38 × 408,270.38
  4. Step 4: Simplify right side
    289,919.25x = 166,684,699,102.64
  5. Step 5: Solve for x
    x = 166,684,699,102.64/289,919.25
  6. Step 6: Final answer
    x = 574,934.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.