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Finding the Third Proportional to 447,894 and 678,948

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Solution

The third proportional to 447,894 and 678,948 is: 1,029,195.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,894 : 678,948 = 678,948 : x
  2. Step 2: Convert to fraction form
    447,894/678,948 = 678,948/x
  3. Step 3: Cross multiply
    447,894x = 678,948 × 678,948
  4. Step 4: Simplify right side
    447,894x = 460,970,386,704
  5. Step 5: Solve for x
    x = 460,970,386,704/447,894
  6. Step 6: Final answer
    x = 1,029,195.27

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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.