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Finding the Third Proportional to 219,370 and 331,755

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Solution

The third proportional to 219,370 and 331,755 is: 501,715.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,370 : 331,755 = 331,755 : x
  2. Step 2: Convert to fraction form
    219,370/331,755 = 331,755/x
  3. Step 3: Cross multiply
    219,370x = 331,755 × 331,755
  4. Step 4: Simplify right side
    219,370x = 110,061,380,025
  5. Step 5: Solve for x
    x = 110,061,380,025/219,370
  6. Step 6: Final answer
    x = 501,715.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.