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Finding the Third Proportional to 221,622 and 301,329

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Solution

The third proportional to 221,622 and 301,329 is: 409,702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,622 : 301,329 = 301,329 : x
  2. Step 2: Convert to fraction form
    221,622/301,329 = 301,329/x
  3. Step 3: Cross multiply
    221,622x = 301,329 × 301,329
  4. Step 4: Simplify right side
    221,622x = 90,799,166,241
  5. Step 5: Solve for x
    x = 90,799,166,241/221,622
  6. Step 6: Final answer
    x = 409,702.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.