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Finding the Third Proportional to 661,873 and 990,137

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Solution

The third proportional to 661,873 and 990,137 is: 1,481,207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,873 : 990,137 = 990,137 : x
  2. Step 2: Convert to fraction form
    661,873/990,137 = 990,137/x
  3. Step 3: Cross multiply
    661,873x = 990,137 × 990,137
  4. Step 4: Simplify right side
    661,873x = 980,371,278,769
  5. Step 5: Solve for x
    x = 980,371,278,769/661,873
  6. Step 6: Final answer
    x = 1,481,207.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.