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Finding the Third Proportional to 84,550 and 178,530

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Solution

The third proportional to 84,550 and 178,530 is: 376,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,550 : 178,530 = 178,530 : x
  2. Step 2: Convert to fraction form
    84,550/178,530 = 178,530/x
  3. Step 3: Cross multiply
    84,550x = 178,530 × 178,530
  4. Step 4: Simplify right side
    84,550x = 31,872,960,900
  5. Step 5: Solve for x
    x = 31,872,960,900/84,550
  6. Step 6: Final answer
    x = 376,971.74

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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.