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Finding the Third Proportional to 219,108 and 313,110

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Solution

The third proportional to 219,108 and 313,110 is: 447,440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,108 : 313,110 = 313,110 : x
  2. Step 2: Convert to fraction form
    219,108/313,110 = 313,110/x
  3. Step 3: Cross multiply
    219,108x = 313,110 × 313,110
  4. Step 4: Simplify right side
    219,108x = 98,037,872,100
  5. Step 5: Solve for x
    x = 98,037,872,100/219,108
  6. Step 6: Final answer
    x = 447,440.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.