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Finding the Third Proportional to 414,896 and 640,772

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Solution

The third proportional to 414,896 and 640,772 is: 989,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,896 : 640,772 = 640,772 : x
  2. Step 2: Convert to fraction form
    414,896/640,772 = 640,772/x
  3. Step 3: Cross multiply
    414,896x = 640,772 × 640,772
  4. Step 4: Simplify right side
    414,896x = 410,588,755,984
  5. Step 5: Solve for x
    x = 410,588,755,984/414,896
  6. Step 6: Final answer
    x = 989,618.50

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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.