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Finding the Third Proportional to 84,376 and 178,239

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Solution

The third proportional to 84,376 and 178,239 is: 376,518.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,376 : 178,239 = 178,239 : x
  2. Step 2: Convert to fraction form
    84,376/178,239 = 178,239/x
  3. Step 3: Cross multiply
    84,376x = 178,239 × 178,239
  4. Step 4: Simplify right side
    84,376x = 31,769,141,121
  5. Step 5: Solve for x
    x = 31,769,141,121/84,376
  6. Step 6: Final answer
    x = 376,518.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.