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Finding the Third Proportional to 398,914 and 864,287

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Solution

The third proportional to 398,914 and 864,287 is: 1,872,564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,914 : 864,287 = 864,287 : x
  2. Step 2: Convert to fraction form
    398,914/864,287 = 864,287/x
  3. Step 3: Cross multiply
    398,914x = 864,287 × 864,287
  4. Step 4: Simplify right side
    398,914x = 746,992,018,369
  5. Step 5: Solve for x
    x = 746,992,018,369/398,914
  6. Step 6: Final answer
    x = 1,872,564.06

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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.