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Finding the Third Proportional to 414,459 and 623,226

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Solution

The third proportional to 414,459 and 623,226 is: 937,150.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,459 : 623,226 = 623,226 : x
  2. Step 2: Convert to fraction form
    414,459/623,226 = 623,226/x
  3. Step 3: Cross multiply
    414,459x = 623,226 × 623,226
  4. Step 4: Simplify right side
    414,459x = 388,410,647,076
  5. Step 5: Solve for x
    x = 388,410,647,076/414,459
  6. Step 6: Final answer
    x = 937,150.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.