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Finding the Third Proportional to 419,240 and 649,668

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Solution

The third proportional to 419,240 and 649,668 is: 1,006,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,240 : 649,668 = 649,668 : x
  2. Step 2: Convert to fraction form
    419,240/649,668 = 649,668/x
  3. Step 3: Cross multiply
    419,240x = 649,668 × 649,668
  4. Step 4: Simplify right side
    419,240x = 422,068,510,224
  5. Step 5: Solve for x
    x = 422,068,510,224/419,240
  6. Step 6: Final answer
    x = 1,006,746.76

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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.