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Finding the Third Proportional to 328,896 and 768,960

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Solution

The third proportional to 328,896 and 768,960 is: 1,797,831.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,896 : 768,960 = 768,960 : x
  2. Step 2: Convert to fraction form
    328,896/768,960 = 768,960/x
  3. Step 3: Cross multiply
    328,896x = 768,960 × 768,960
  4. Step 4: Simplify right side
    328,896x = 591,299,481,600
  5. Step 5: Solve for x
    x = 591,299,481,600/328,896
  6. Step 6: Final answer
    x = 1,797,831.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.