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Finding the Third Proportional to 219,380 and 331,770

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Solution

The third proportional to 219,380 and 331,770 is: 501,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,380 : 331,770 = 331,770 : x
  2. Step 2: Convert to fraction form
    219,380/331,770 = 331,770/x
  3. Step 3: Cross multiply
    219,380x = 331,770 × 331,770
  4. Step 4: Simplify right side
    219,380x = 110,071,332,900
  5. Step 5: Solve for x
    x = 110,071,332,900/219,380
  6. Step 6: Final answer
    x = 501,738.23

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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.