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Finding the Third Proportional to 178,442 and 242,227

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Solution

The third proportional to 178,442 and 242,227 is: 328,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,442 : 242,227 = 242,227 : x
  2. Step 2: Convert to fraction form
    178,442/242,227 = 242,227/x
  3. Step 3: Cross multiply
    178,442x = 242,227 × 242,227
  4. Step 4: Simplify right side
    178,442x = 58,673,919,529
  5. Step 5: Solve for x
    x = 58,673,919,529/178,442
  6. Step 6: Final answer
    x = 328,812.27

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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.