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Finding the Third Proportional to 661,744 and 989,972

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Solution

The third proportional to 661,744 and 989,972 is: 1,481,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,744 : 989,972 = 989,972 : x
  2. Step 2: Convert to fraction form
    661,744/989,972 = 989,972/x
  3. Step 3: Cross multiply
    661,744x = 989,972 × 989,972
  4. Step 4: Simplify right side
    661,744x = 980,044,560,784
  5. Step 5: Solve for x
    x = 980,044,560,784/661,744
  6. Step 6: Final answer
    x = 1,481,002.56

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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.