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Finding the Third Proportional to 408,469 and 610,243

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Solution

The third proportional to 408,469 and 610,243 is: 911,688.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,469 : 610,243 = 610,243 : x
  2. Step 2: Convert to fraction form
    408,469/610,243 = 610,243/x
  3. Step 3: Cross multiply
    408,469x = 610,243 × 610,243
  4. Step 4: Simplify right side
    408,469x = 372,396,519,049
  5. Step 5: Solve for x
    x = 372,396,519,049/408,469
  6. Step 6: Final answer
    x = 911,688.57

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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.