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Finding the Third Proportional to 356,827 and 769,357

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Solution

The third proportional to 356,827 and 769,357 is: 1,658,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,827 : 769,357 = 769,357 : x
  2. Step 2: Convert to fraction form
    356,827/769,357 = 769,357/x
  3. Step 3: Cross multiply
    356,827x = 769,357 × 769,357
  4. Step 4: Simplify right side
    356,827x = 591,910,193,449
  5. Step 5: Solve for x
    x = 591,910,193,449/356,827
  6. Step 6: Final answer
    x = 1,658,815.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.