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Finding the Third Proportional to 414,508.50 and 640,073.25

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Solution

The third proportional to 414,508.50 and 640,073.25 is: 988,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,508.50 : 640,073.25 = 640,073.25 : x
  2. Step 2: Convert to fraction form
    414,508.50/640,073.25 = 640,073.25/x
  3. Step 3: Cross multiply
    414,508.50x = 640,073.25 × 640,073.25
  4. Step 4: Simplify right side
    414,508.50x = 409,693,765,365.56
  5. Step 5: Solve for x
    x = 409,693,765,365.56/414,508.50
  6. Step 6: Final answer
    x = 988,384.47

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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.