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Finding the Third Proportional to 317,544 and 678,756

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Solution

The third proportional to 317,544 and 678,756 is: 1,450,853.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,544 : 678,756 = 678,756 : x
  2. Step 2: Convert to fraction form
    317,544/678,756 = 678,756/x
  3. Step 3: Cross multiply
    317,544x = 678,756 × 678,756
  4. Step 4: Simplify right side
    317,544x = 460,709,707,536
  5. Step 5: Solve for x
    x = 460,709,707,536/317,544
  6. Step 6: Final answer
    x = 1,450,853.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.