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Finding the Third Proportional to 269,216 and 387,696

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Solution

The third proportional to 269,216 and 387,696 is: 558,318.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,216 : 387,696 = 387,696 : x
  2. Step 2: Convert to fraction form
    269,216/387,696 = 387,696/x
  3. Step 3: Cross multiply
    269,216x = 387,696 × 387,696
  4. Step 4: Simplify right side
    269,216x = 150,308,188,416
  5. Step 5: Solve for x
    x = 150,308,188,416/269,216
  6. Step 6: Final answer
    x = 558,318.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.