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Finding the Third Proportional to 476,344 and 737,244

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Solution

The third proportional to 476,344 and 737,244 is: 1,141,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,344 : 737,244 = 737,244 : x
  2. Step 2: Convert to fraction form
    476,344/737,244 = 737,244/x
  3. Step 3: Cross multiply
    476,344x = 737,244 × 737,244
  4. Step 4: Simplify right side
    476,344x = 543,528,715,536
  5. Step 5: Solve for x
    x = 543,528,715,536/476,344
  6. Step 6: Final answer
    x = 1,141,042.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.