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Finding the Third Proportional to 398,904 and 864,269

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Solution

The third proportional to 398,904 and 864,269 is: 1,872,533.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,904 : 864,269 = 864,269 : x
  2. Step 2: Convert to fraction form
    398,904/864,269 = 864,269/x
  3. Step 3: Cross multiply
    398,904x = 864,269 × 864,269
  4. Step 4: Simplify right side
    398,904x = 746,960,904,361
  5. Step 5: Solve for x
    x = 746,960,904,361/398,904
  6. Step 6: Final answer
    x = 1,872,533.00

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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.