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Finding the Third Proportional to 476,122 and 737,836

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Solution

The third proportional to 476,122 and 737,836 is: 1,143,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,122 : 737,836 = 737,836 : x
  2. Step 2: Convert to fraction form
    476,122/737,836 = 737,836/x
  3. Step 3: Cross multiply
    476,122x = 737,836 × 737,836
  4. Step 4: Simplify right side
    476,122x = 544,401,962,896
  5. Step 5: Solve for x
    x = 544,401,962,896/476,122
  6. Step 6: Final answer
    x = 1,143,408.54

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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.