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Finding the Third Proportional to 221,952 and 340,380

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Solution

The third proportional to 221,952 and 340,380 is: 521,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,952 : 340,380 = 340,380 : x
  2. Step 2: Convert to fraction form
    221,952/340,380 = 340,380/x
  3. Step 3: Cross multiply
    221,952x = 340,380 × 340,380
  4. Step 4: Simplify right side
    221,952x = 115,858,544,400
  5. Step 5: Solve for x
    x = 115,858,544,400/221,952
  6. Step 6: Final answer
    x = 521,998.20

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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.