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Finding the Third Proportional to 356,118 and 840,651

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Solution

The third proportional to 356,118 and 840,651 is: 1,984,438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,118 : 840,651 = 840,651 : x
  2. Step 2: Convert to fraction form
    356,118/840,651 = 840,651/x
  3. Step 3: Cross multiply
    356,118x = 840,651 × 840,651
  4. Step 4: Simplify right side
    356,118x = 706,694,103,801
  5. Step 5: Solve for x
    x = 706,694,103,801/356,118
  6. Step 6: Final answer
    x = 1,984,438.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.