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Finding the Third Proportional to 677,642 and 903,401

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Solution

The third proportional to 677,642 and 903,401 is: 1,204,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,642 : 903,401 = 903,401 : x
  2. Step 2: Convert to fraction form
    677,642/903,401 = 903,401/x
  3. Step 3: Cross multiply
    677,642x = 903,401 × 903,401
  4. Step 4: Simplify right side
    677,642x = 816,133,366,801
  5. Step 5: Solve for x
    x = 816,133,366,801/677,642
  6. Step 6: Final answer
    x = 1,204,372.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.