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Finding the Third Proportional to 211,819.50 and 465,619.50

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Solution

The third proportional to 211,819.50 and 465,619.50 is: 1,023,520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,819.50 : 465,619.50 = 465,619.50 : x
  2. Step 2: Convert to fraction form
    211,819.50/465,619.50 = 465,619.50/x
  3. Step 3: Cross multiply
    211,819.50x = 465,619.50 × 465,619.50
  4. Step 4: Simplify right side
    211,819.50x = 216,801,518,780.25
  5. Step 5: Solve for x
    x = 216,801,518,780.25/211,819.50
  6. Step 6: Final answer
    x = 1,023,520.11

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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.