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Finding the Third Proportional to 400,659 and 864,519

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Solution

The third proportional to 400,659 and 864,519 is: 1,865,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,659 : 864,519 = 864,519 : x
  2. Step 2: Convert to fraction form
    400,659/864,519 = 864,519/x
  3. Step 3: Cross multiply
    400,659x = 864,519 × 864,519
  4. Step 4: Simplify right side
    400,659x = 747,393,101,361
  5. Step 5: Solve for x
    x = 747,393,101,361/400,659
  6. Step 6: Final answer
    x = 1,865,409.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.