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Finding the Third Proportional to 611,805 and 1,321,863

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Solution

The third proportional to 611,805 and 1,321,863 is: 2,856,010.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,805 : 1,321,863 = 1,321,863 : x
  2. Step 2: Convert to fraction form
    611,805/1,321,863 = 1,321,863/x
  3. Step 3: Cross multiply
    611,805x = 1,321,863 × 1,321,863
  4. Step 4: Simplify right side
    611,805x = 1,747,321,790,769
  5. Step 5: Solve for x
    x = 1,747,321,790,769/611,805
  6. Step 6: Final answer
    x = 2,856,010.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.