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Finding the Third Proportional to 190,847 and 407,938

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Solution

The third proportional to 190,847 and 407,938 is: 871,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,847 : 407,938 = 407,938 : x
  2. Step 2: Convert to fraction form
    190,847/407,938 = 407,938/x
  3. Step 3: Cross multiply
    190,847x = 407,938 × 407,938
  4. Step 4: Simplify right side
    190,847x = 166,413,411,844
  5. Step 5: Solve for x
    x = 166,413,411,844/190,847
  6. Step 6: Final answer
    x = 871,972.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.