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Finding the Third Proportional to 414,920.25 and 640,803.38

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Solution

The third proportional to 414,920.25 and 640,803.38 is: 989,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,920.25 : 640,803.38 = 640,803.38 : x
  2. Step 2: Convert to fraction form
    414,920.25/640,803.38 = 640,803.38/x
  3. Step 3: Cross multiply
    414,920.25x = 640,803.38 × 640,803.38
  4. Step 4: Simplify right side
    414,920.25x = 410,628,965,411.39
  5. Step 5: Solve for x
    x = 410,628,965,411.39/414,920.25
  6. Step 6: Final answer
    x = 989,657.57

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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.