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Finding the Third Proportional to 154,072 and 336,503

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Solution

The third proportional to 154,072 and 336,503 is: 734,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,072 : 336,503 = 336,503 : x
  2. Step 2: Convert to fraction form
    154,072/336,503 = 336,503/x
  3. Step 3: Cross multiply
    154,072x = 336,503 × 336,503
  4. Step 4: Simplify right side
    154,072x = 113,234,269,009
  5. Step 5: Solve for x
    x = 113,234,269,009/154,072
  6. Step 6: Final answer
    x = 734,943.85

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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.