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Finding the Third Proportional to 199,661 and 301,569

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Solution

The third proportional to 199,661 and 301,569 is: 455,491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,661 : 301,569 = 301,569 : x
  2. Step 2: Convert to fraction form
    199,661/301,569 = 301,569/x
  3. Step 3: Cross multiply
    199,661x = 301,569 × 301,569
  4. Step 4: Simplify right side
    199,661x = 90,943,861,761
  5. Step 5: Solve for x
    x = 90,943,861,761/199,661
  6. Step 6: Final answer
    x = 455,491.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.