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Finding the Third Proportional to 398,914 and 864,288

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Solution

The third proportional to 398,914 and 864,288 is: 1,872,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,914 : 864,288 = 864,288 : x
  2. Step 2: Convert to fraction form
    398,914/864,288 = 864,288/x
  3. Step 3: Cross multiply
    398,914x = 864,288 × 864,288
  4. Step 4: Simplify right side
    398,914x = 746,993,746,944
  5. Step 5: Solve for x
    x = 746,993,746,944/398,914
  6. Step 6: Final answer
    x = 1,872,568.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.