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Finding the Third Proportional to 336,100 and 733,832

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Solution

The third proportional to 336,100 and 733,832 is: 1,602,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,100 : 733,832 = 733,832 : x
  2. Step 2: Convert to fraction form
    336,100/733,832 = 733,832/x
  3. Step 3: Cross multiply
    336,100x = 733,832 × 733,832
  4. Step 4: Simplify right side
    336,100x = 538,509,404,224
  5. Step 5: Solve for x
    x = 538,509,404,224/336,100
  6. Step 6: Final answer
    x = 1,602,229.71

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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.