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Finding the Third Proportional to 131,569 and 200,121

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Solution

The third proportional to 131,569 and 200,121 is: 304,390.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,569 : 200,121 = 200,121 : x
  2. Step 2: Convert to fraction form
    131,569/200,121 = 200,121/x
  3. Step 3: Cross multiply
    131,569x = 200,121 × 200,121
  4. Step 4: Simplify right side
    131,569x = 40,048,414,641
  5. Step 5: Solve for x
    x = 40,048,414,641/131,569
  6. Step 6: Final answer
    x = 304,390.96

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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.