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Finding the Third Proportional to 414,885 and 640,754

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Solution

The third proportional to 414,885 and 640,754 is: 989,589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,885 : 640,754 = 640,754 : x
  2. Step 2: Convert to fraction form
    414,885/640,754 = 640,754/x
  3. Step 3: Cross multiply
    414,885x = 640,754 × 640,754
  4. Step 4: Simplify right side
    414,885x = 410,565,688,516
  5. Step 5: Solve for x
    x = 410,565,688,516/414,885
  6. Step 6: Final answer
    x = 989,589.14

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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.