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Finding the Third Proportional to 206,961 and 284,967

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Solution

The third proportional to 206,961 and 284,967 is: 392,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,961 : 284,967 = 284,967 : x
  2. Step 2: Convert to fraction form
    206,961/284,967 = 284,967/x
  3. Step 3: Cross multiply
    206,961x = 284,967 × 284,967
  4. Step 4: Simplify right side
    206,961x = 81,206,191,089
  5. Step 5: Solve for x
    x = 81,206,191,089/206,961
  6. Step 6: Final answer
    x = 392,374.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.