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Finding the Third Proportional to 471,644 and 666,717

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Solution

The third proportional to 471,644 and 666,717 is: 942,472.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,644 : 666,717 = 666,717 : x
  2. Step 2: Convert to fraction form
    471,644/666,717 = 666,717/x
  3. Step 3: Cross multiply
    471,644x = 666,717 × 666,717
  4. Step 4: Simplify right side
    471,644x = 444,511,558,089
  5. Step 5: Solve for x
    x = 444,511,558,089/471,644
  6. Step 6: Final answer
    x = 942,472.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.