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Finding the Third Proportional to 618,792 and 984,620

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Solution

The third proportional to 618,792 and 984,620 is: 1,566,724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,792 : 984,620 = 984,620 : x
  2. Step 2: Convert to fraction form
    618,792/984,620 = 984,620/x
  3. Step 3: Cross multiply
    618,792x = 984,620 × 984,620
  4. Step 4: Simplify right side
    618,792x = 969,476,544,400
  5. Step 5: Solve for x
    x = 969,476,544,400/618,792
  6. Step 6: Final answer
    x = 1,566,724.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.