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Finding the Third Proportional to 168,320 and 261,824

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Solution

The third proportional to 168,320 and 261,824 is: 407,270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,320 : 261,824 = 261,824 : x
  2. Step 2: Convert to fraction form
    168,320/261,824 = 261,824/x
  3. Step 3: Cross multiply
    168,320x = 261,824 × 261,824
  4. Step 4: Simplify right side
    168,320x = 68,551,806,976
  5. Step 5: Solve for x
    x = 68,551,806,976/168,320
  6. Step 6: Final answer
    x = 407,270.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.