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Finding the Third Proportional to 661,938 and 992,019

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Solution

The third proportional to 661,938 and 992,019 is: 1,486,697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,938 : 992,019 = 992,019 : x
  2. Step 2: Convert to fraction form
    661,938/992,019 = 992,019/x
  3. Step 3: Cross multiply
    661,938x = 992,019 × 992,019
  4. Step 4: Simplify right side
    661,938x = 984,101,696,361
  5. Step 5: Solve for x
    x = 984,101,696,361/661,938
  6. Step 6: Final answer
    x = 1,486,697.69

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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.