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Finding the Third Proportional to 336,906 and 737,112

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Solution

The third proportional to 336,906 and 737,112 is: 1,612,717.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,906 : 737,112 = 737,112 : x
  2. Step 2: Convert to fraction form
    336,906/737,112 = 737,112/x
  3. Step 3: Cross multiply
    336,906x = 737,112 × 737,112
  4. Step 4: Simplify right side
    336,906x = 543,334,100,544
  5. Step 5: Solve for x
    x = 543,334,100,544/336,906
  6. Step 6: Final answer
    x = 1,612,717.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.