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Finding the Third Proportional to 323,385.75 and 680,286

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Solution

The third proportional to 323,385.75 and 680,286 is: 1,431,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,385.75 : 680,286 = 680,286 : x
  2. Step 2: Convert to fraction form
    323,385.75/680,286 = 680,286/x
  3. Step 3: Cross multiply
    323,385.75x = 680,286 × 680,286
  4. Step 4: Simplify right side
    323,385.75x = 462,789,041,796
  5. Step 5: Solve for x
    x = 462,789,041,796/323,385.75
  6. Step 6: Final answer
    x = 1,431,074.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.