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Finding the Third Proportional to 169,770 and 256,296

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Solution

The third proportional to 169,770 and 256,296 is: 386,921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,770 : 256,296 = 256,296 : x
  2. Step 2: Convert to fraction form
    169,770/256,296 = 256,296/x
  3. Step 3: Cross multiply
    169,770x = 256,296 × 256,296
  4. Step 4: Simplify right side
    169,770x = 65,687,639,616
  5. Step 5: Solve for x
    x = 65,687,639,616/169,770
  6. Step 6: Final answer
    x = 386,921.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.