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Finding the Third Proportional to 388,568 and 617,860

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Solution

The third proportional to 388,568 and 617,860 is: 982,456.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,568 : 617,860 = 617,860 : x
  2. Step 2: Convert to fraction form
    388,568/617,860 = 617,860/x
  3. Step 3: Cross multiply
    388,568x = 617,860 × 617,860
  4. Step 4: Simplify right side
    388,568x = 381,750,979,600
  5. Step 5: Solve for x
    x = 381,750,979,600/388,568
  6. Step 6: Final answer
    x = 982,456.04

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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.