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Finding the Third Proportional to 139,086 and 303,651

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Solution

The third proportional to 139,086 and 303,651 is: 662,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,086 : 303,651 = 303,651 : x
  2. Step 2: Convert to fraction form
    139,086/303,651 = 303,651/x
  3. Step 3: Cross multiply
    139,086x = 303,651 × 303,651
  4. Step 4: Simplify right side
    139,086x = 92,203,929,801
  5. Step 5: Solve for x
    x = 92,203,929,801/139,086
  6. Step 6: Final answer
    x = 662,927.47

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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.