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Finding the Third Proportional to 640,919 and 992,084

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Solution

The third proportional to 640,919 and 992,084 is: 1,535,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,919 : 992,084 = 992,084 : x
  2. Step 2: Convert to fraction form
    640,919/992,084 = 992,084/x
  3. Step 3: Cross multiply
    640,919x = 992,084 × 992,084
  4. Step 4: Simplify right side
    640,919x = 984,230,663,056
  5. Step 5: Solve for x
    x = 984,230,663,056/640,919
  6. Step 6: Final answer
    x = 1,535,655.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.