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Finding the Third Proportional to 178,439 and 242,223

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Solution

The third proportional to 178,439 and 242,223 is: 328,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,439 : 242,223 = 242,223 : x
  2. Step 2: Convert to fraction form
    178,439/242,223 = 242,223/x
  3. Step 3: Cross multiply
    178,439x = 242,223 × 242,223
  4. Step 4: Simplify right side
    178,439x = 58,671,981,729
  5. Step 5: Solve for x
    x = 58,671,981,729/178,439
  6. Step 6: Final answer
    x = 328,806.94

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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.