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Finding the Third Proportional to 222,384 and 332,962.50

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Solution

The third proportional to 222,384 and 332,962.50 is: 498,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,384 : 332,962.50 = 332,962.50 : x
  2. Step 2: Convert to fraction form
    222,384/332,962.50 = 332,962.50/x
  3. Step 3: Cross multiply
    222,384x = 332,962.50 × 332,962.50
  4. Step 4: Simplify right side
    222,384x = 110,864,026,406.25
  5. Step 5: Solve for x
    x = 110,864,026,406.25/222,384
  6. Step 6: Final answer
    x = 498,525.19

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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.