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Finding the Third Proportional to 336,903 and 737,108

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Solution

The third proportional to 336,903 and 737,108 is: 1,612,714.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,903 : 737,108 = 737,108 : x
  2. Step 2: Convert to fraction form
    336,903/737,108 = 737,108/x
  3. Step 3: Cross multiply
    336,903x = 737,108 × 737,108
  4. Step 4: Simplify right side
    336,903x = 543,328,203,664
  5. Step 5: Solve for x
    x = 543,328,203,664/336,903
  6. Step 6: Final answer
    x = 1,612,714.06

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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.