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Finding the Third Proportional to 219,112 and 330,108

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Solution

The third proportional to 219,112 and 330,108 is: 497,331.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,112 : 330,108 = 330,108 : x
  2. Step 2: Convert to fraction form
    219,112/330,108 = 330,108/x
  3. Step 3: Cross multiply
    219,112x = 330,108 × 330,108
  4. Step 4: Simplify right side
    219,112x = 108,971,291,664
  5. Step 5: Solve for x
    x = 108,971,291,664/219,112
  6. Step 6: Final answer
    x = 497,331.46

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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.