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Finding the Third Proportional to 84,306 and 178,494

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Solution

The third proportional to 84,306 and 178,494 is: 377,910.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,306 : 178,494 = 178,494 : x
  2. Step 2: Convert to fraction form
    84,306/178,494 = 178,494/x
  3. Step 3: Cross multiply
    84,306x = 178,494 × 178,494
  4. Step 4: Simplify right side
    84,306x = 31,860,108,036
  5. Step 5: Solve for x
    x = 31,860,108,036/84,306
  6. Step 6: Final answer
    x = 377,910.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.