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Finding the Third Proportional to 109,399 and 226,381

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Solution

The third proportional to 109,399 and 226,381 is: 468,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,399 : 226,381 = 226,381 : x
  2. Step 2: Convert to fraction form
    109,399/226,381 = 226,381/x
  3. Step 3: Cross multiply
    109,399x = 226,381 × 226,381
  4. Step 4: Simplify right side
    109,399x = 51,248,357,161
  5. Step 5: Solve for x
    x = 51,248,357,161/109,399
  6. Step 6: Final answer
    x = 468,453.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.