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Finding the Third Proportional to 661,982 and 992,757

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Solution

The third proportional to 661,982 and 992,757 is: 1,488,811.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,982 : 992,757 = 992,757 : x
  2. Step 2: Convert to fraction form
    661,982/992,757 = 992,757/x
  3. Step 3: Cross multiply
    661,982x = 992,757 × 992,757
  4. Step 4: Simplify right side
    661,982x = 985,566,461,049
  5. Step 5: Solve for x
    x = 985,566,461,049/661,982
  6. Step 6: Final answer
    x = 1,488,811.57

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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.