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Finding the Third Proportional to 300,640 and 483,542

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Solution

The third proportional to 300,640 and 483,542 is: 777,717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,640 : 483,542 = 483,542 : x
  2. Step 2: Convert to fraction form
    300,640/483,542 = 483,542/x
  3. Step 3: Cross multiply
    300,640x = 483,542 × 483,542
  4. Step 4: Simplify right side
    300,640x = 233,812,865,764
  5. Step 5: Solve for x
    x = 233,812,865,764/300,640
  6. Step 6: Final answer
    x = 777,717.09

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.