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Finding the Third Proportional to 178,431 and 242,213

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Solution

The third proportional to 178,431 and 242,213 is: 328,794.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,431 : 242,213 = 242,213 : x
  2. Step 2: Convert to fraction form
    178,431/242,213 = 242,213/x
  3. Step 3: Cross multiply
    178,431x = 242,213 × 242,213
  4. Step 4: Simplify right side
    178,431x = 58,667,137,369
  5. Step 5: Solve for x
    x = 58,667,137,369/178,431
  6. Step 6: Final answer
    x = 328,794.53

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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.