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Finding the Third Proportional to 159,471 and 256,947

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Solution

The third proportional to 159,471 and 256,947 is: 414,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,471 : 256,947 = 256,947 : x
  2. Step 2: Convert to fraction form
    159,471/256,947 = 256,947/x
  3. Step 3: Cross multiply
    159,471x = 256,947 × 256,947
  4. Step 4: Simplify right side
    159,471x = 66,021,760,809
  5. Step 5: Solve for x
    x = 66,021,760,809/159,471
  6. Step 6: Final answer
    x = 414,004.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.