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Finding the Third Proportional to 414,867.66 and 640,725.82

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Solution

The third proportional to 414,867.66 and 640,725.82 is: 989,543.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,867.66 : 640,725.82 = 640,725.82 : x
  2. Step 2: Convert to fraction form
    414,867.66/640,725.82 = 640,725.82/x
  3. Step 3: Cross multiply
    414,867.66x = 640,725.82 × 640,725.82
  4. Step 4: Simplify right side
    414,867.66x = 410,529,576,815.13
  5. Step 5: Solve for x
    x = 410,529,576,815.13/414,867.66
  6. Step 6: Final answer
    x = 989,543.46

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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.