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Finding the Third Proportional to 157,866 and 330,324

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Solution

The third proportional to 157,866 and 330,324 is: 691,180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,866 : 330,324 = 330,324 : x
  2. Step 2: Convert to fraction form
    157,866/330,324 = 330,324/x
  3. Step 3: Cross multiply
    157,866x = 330,324 × 330,324
  4. Step 4: Simplify right side
    157,866x = 109,113,944,976
  5. Step 5: Solve for x
    x = 109,113,944,976/157,866
  6. Step 6: Final answer
    x = 691,180.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.