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Finding the Third Proportional to 221,535 and 332,221.50

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Solution

The third proportional to 221,535 and 332,221.50 is: 498,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,535 : 332,221.50 = 332,221.50 : x
  2. Step 2: Convert to fraction form
    221,535/332,221.50 = 332,221.50/x
  3. Step 3: Cross multiply
    221,535x = 332,221.50 × 332,221.50
  4. Step 4: Simplify right side
    221,535x = 110,371,125,062.25
  5. Step 5: Solve for x
    x = 110,371,125,062.25/221,535
  6. Step 6: Final answer
    x = 498,210.78

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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.