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Finding the Third Proportional to 182,447 and 398,519

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Solution

The third proportional to 182,447 and 398,519 is: 870,485.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,447 : 398,519 = 398,519 : x
  2. Step 2: Convert to fraction form
    182,447/398,519 = 398,519/x
  3. Step 3: Cross multiply
    182,447x = 398,519 × 398,519
  4. Step 4: Simplify right side
    182,447x = 158,817,393,361
  5. Step 5: Solve for x
    x = 158,817,393,361/182,447
  6. Step 6: Final answer
    x = 870,485.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.