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Finding the Third Proportional to 100,078.50 and 219,838.50

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Solution

The third proportional to 100,078.50 and 219,838.50 is: 482,910.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,078.50 : 219,838.50 = 219,838.50 : x
  2. Step 2: Convert to fraction form
    100,078.50/219,838.50 = 219,838.50/x
  3. Step 3: Cross multiply
    100,078.50x = 219,838.50 × 219,838.50
  4. Step 4: Simplify right side
    100,078.50x = 48,328,966,082.25
  5. Step 5: Solve for x
    x = 48,328,966,082.25/100,078.50
  6. Step 6: Final answer
    x = 482,910.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.