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Finding the Third Proportional to 447,892 and 678,945

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Solution

The third proportional to 447,892 and 678,945 is: 1,029,190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,892 : 678,945 = 678,945 : x
  2. Step 2: Convert to fraction form
    447,892/678,945 = 678,945/x
  3. Step 3: Cross multiply
    447,892x = 678,945 × 678,945
  4. Step 4: Simplify right side
    447,892x = 460,966,313,025
  5. Step 5: Solve for x
    x = 460,966,313,025/447,892
  6. Step 6: Final answer
    x = 1,029,190.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.