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Finding the Third Proportional to 361,122 and 768,899

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Solution

The third proportional to 361,122 and 768,899 is: 1,637,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,122 : 768,899 = 768,899 : x
  2. Step 2: Convert to fraction form
    361,122/768,899 = 768,899/x
  3. Step 3: Cross multiply
    361,122x = 768,899 × 768,899
  4. Step 4: Simplify right side
    361,122x = 591,205,672,201
  5. Step 5: Solve for x
    x = 591,205,672,201/361,122
  6. Step 6: Final answer
    x = 1,637,135.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.