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Finding the Third Proportional to 200,783.25 and 418,203

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Solution

The third proportional to 200,783.25 and 418,203 is: 871,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,783.25 : 418,203 = 418,203 : x
  2. Step 2: Convert to fraction form
    200,783.25/418,203 = 418,203/x
  3. Step 3: Cross multiply
    200,783.25x = 418,203 × 418,203
  4. Step 4: Simplify right side
    200,783.25x = 174,893,749,209
  5. Step 5: Solve for x
    x = 174,893,749,209/200,783.25
  6. Step 6: Final answer
    x = 871,057.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.