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Finding the Third Proportional to 200,603 and 437,190

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Solution

The third proportional to 200,603 and 437,190 is: 952,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,603 : 437,190 = 437,190 : x
  2. Step 2: Convert to fraction form
    200,603/437,190 = 437,190/x
  3. Step 3: Cross multiply
    200,603x = 437,190 × 437,190
  4. Step 4: Simplify right side
    200,603x = 191,135,096,100
  5. Step 5: Solve for x
    x = 191,135,096,100/200,603
  6. Step 6: Final answer
    x = 952,802.78

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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.