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Finding the Third Proportional to 414,966 and 640,880

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Solution

The third proportional to 414,966 and 640,880 is: 989,785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,966 : 640,880 = 640,880 : x
  2. Step 2: Convert to fraction form
    414,966/640,880 = 640,880/x
  3. Step 3: Cross multiply
    414,966x = 640,880 × 640,880
  4. Step 4: Simplify right side
    414,966x = 410,727,174,400
  5. Step 5: Solve for x
    x = 410,727,174,400/414,966
  6. Step 6: Final answer
    x = 989,785.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.