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Finding the Third Proportional to 178,564 and 242,512

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Solution

The third proportional to 178,564 and 242,512 is: 329,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,564 : 242,512 = 242,512 : x
  2. Step 2: Convert to fraction form
    178,564/242,512 = 242,512/x
  3. Step 3: Cross multiply
    178,564x = 242,512 × 242,512
  4. Step 4: Simplify right side
    178,564x = 58,812,070,144
  5. Step 5: Solve for x
    x = 58,812,070,144/178,564
  6. Step 6: Final answer
    x = 329,361.29

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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.