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Finding the Third Proportional to 219,378 and 331,767

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Solution

The third proportional to 219,378 and 331,767 is: 501,733.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,378 : 331,767 = 331,767 : x
  2. Step 2: Convert to fraction form
    219,378/331,767 = 331,767/x
  3. Step 3: Cross multiply
    219,378x = 331,767 × 331,767
  4. Step 4: Simplify right side
    219,378x = 110,069,342,289
  5. Step 5: Solve for x
    x = 110,069,342,289/219,378
  6. Step 6: Final answer
    x = 501,733.73

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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.