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Finding the Third Proportional to 222,102 and 332,788.50

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Solution

The third proportional to 222,102 and 332,788.50 is: 498,636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,102 : 332,788.50 = 332,788.50 : x
  2. Step 2: Convert to fraction form
    222,102/332,788.50 = 332,788.50/x
  3. Step 3: Cross multiply
    222,102x = 332,788.50 × 332,788.50
  4. Step 4: Simplify right side
    222,102x = 110,748,185,732.25
  5. Step 5: Solve for x
    x = 110,748,185,732.25/222,102
  6. Step 6: Final answer
    x = 498,636.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.