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Finding the Third Proportional to 353,376 and 768,960

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Solution

The third proportional to 353,376 and 768,960 is: 1,673,287.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,376 : 768,960 = 768,960 : x
  2. Step 2: Convert to fraction form
    353,376/768,960 = 768,960/x
  3. Step 3: Cross multiply
    353,376x = 768,960 × 768,960
  4. Step 4: Simplify right side
    353,376x = 591,299,481,600
  5. Step 5: Solve for x
    x = 591,299,481,600/353,376
  6. Step 6: Final answer
    x = 1,673,287.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.