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Finding the Third Proportional to 221,962 and 340,395

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Solution

The third proportional to 221,962 and 340,395 is: 522,020.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,962 : 340,395 = 340,395 : x
  2. Step 2: Convert to fraction form
    221,962/340,395 = 340,395/x
  3. Step 3: Cross multiply
    221,962x = 340,395 × 340,395
  4. Step 4: Simplify right side
    221,962x = 115,868,756,025
  5. Step 5: Solve for x
    x = 115,868,756,025/221,962
  6. Step 6: Final answer
    x = 522,020.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.