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Finding the Third Proportional to 640,919.25 and 992,085.75

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Solution

The third proportional to 640,919.25 and 992,085.75 is: 1,535,660.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,919.25 : 992,085.75 = 992,085.75 : x
  2. Step 2: Convert to fraction form
    640,919.25/992,085.75 = 992,085.75/x
  3. Step 3: Cross multiply
    640,919.25x = 992,085.75 × 992,085.75
  4. Step 4: Simplify right side
    640,919.25x = 984,234,135,353.06
  5. Step 5: Solve for x
    x = 984,234,135,353.06/640,919.25
  6. Step 6: Final answer
    x = 1,535,660.12

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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.