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Finding the Third Proportional to 210,747 and 451,122

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Solution

The third proportional to 210,747 and 451,122 is: 965,665.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,747 : 451,122 = 451,122 : x
  2. Step 2: Convert to fraction form
    210,747/451,122 = 451,122/x
  3. Step 3: Cross multiply
    210,747x = 451,122 × 451,122
  4. Step 4: Simplify right side
    210,747x = 203,511,058,884
  5. Step 5: Solve for x
    x = 203,511,058,884/210,747
  6. Step 6: Final answer
    x = 965,665.27

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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.