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Finding the Third Proportional to 139,381 and 303,625

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Solution

The third proportional to 139,381 and 303,625 is: 661,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,381 : 303,625 = 303,625 : x
  2. Step 2: Convert to fraction form
    139,381/303,625 = 303,625/x
  3. Step 3: Cross multiply
    139,381x = 303,625 × 303,625
  4. Step 4: Simplify right side
    139,381x = 92,188,140,625
  5. Step 5: Solve for x
    x = 92,188,140,625/139,381
  6. Step 6: Final answer
    x = 661,411.10

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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.