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Finding the Third Proportional to 212,569 and 329,121

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Solution

The third proportional to 212,569 and 329,121 is: 509,578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,569 : 329,121 = 329,121 : x
  2. Step 2: Convert to fraction form
    212,569/329,121 = 329,121/x
  3. Step 3: Cross multiply
    212,569x = 329,121 × 329,121
  4. Step 4: Simplify right side
    212,569x = 108,320,632,641
  5. Step 5: Solve for x
    x = 108,320,632,641/212,569
  6. Step 6: Final answer
    x = 509,578.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.