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Finding the Third Proportional to 303,385.50 and 661,203

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Solution

The third proportional to 303,385.50 and 661,203 is: 1,441,035.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,385.50 : 661,203 = 661,203 : x
  2. Step 2: Convert to fraction form
    303,385.50/661,203 = 661,203/x
  3. Step 3: Cross multiply
    303,385.50x = 661,203 × 661,203
  4. Step 4: Simplify right side
    303,385.50x = 437,189,407,209
  5. Step 5: Solve for x
    x = 437,189,407,209/303,385.50
  6. Step 6: Final answer
    x = 1,441,035.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.