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Finding the Third Proportional to 354,872.79 and 769,640.33

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Solution

The third proportional to 354,872.79 and 769,640.33 is: 1,669,179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,872.79 : 769,640.33 = 769,640.33 : x
  2. Step 2: Convert to fraction form
    354,872.79/769,640.33 = 769,640.33/x
  3. Step 3: Cross multiply
    354,872.79x = 769,640.33 × 769,640.33
  4. Step 4: Simplify right side
    354,872.79x = 592,346,231,669.96
  5. Step 5: Solve for x
    x = 592,346,231,669.96/354,872.79
  6. Step 6: Final answer
    x = 1,669,179.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.