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Finding the Third Proportional to 336,056 and 733,744

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Solution

The third proportional to 336,056 and 733,744 is: 1,602,055.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,056 : 733,744 = 733,744 : x
  2. Step 2: Convert to fraction form
    336,056/733,744 = 733,744/x
  3. Step 3: Cross multiply
    336,056x = 733,744 × 733,744
  4. Step 4: Simplify right side
    336,056x = 538,380,257,536
  5. Step 5: Solve for x
    x = 538,380,257,536/336,056
  6. Step 6: Final answer
    x = 1,602,055.19

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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.