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Finding the Third Proportional to 221,725 and 338,123

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Solution

The third proportional to 221,725 and 338,123 is: 515,625.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,725 : 338,123 = 338,123 : x
  2. Step 2: Convert to fraction form
    221,725/338,123 = 338,123/x
  3. Step 3: Cross multiply
    221,725x = 338,123 × 338,123
  4. Step 4: Simplify right side
    221,725x = 114,327,163,129
  5. Step 5: Solve for x
    x = 114,327,163,129/221,725
  6. Step 6: Final answer
    x = 515,625.95

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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.