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Finding the Third Proportional to 169,538.06 and 256,491.56

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Solution

The third proportional to 169,538.06 and 256,491.56 is: 388,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,538.06 : 256,491.56 = 256,491.56 : x
  2. Step 2: Convert to fraction form
    169,538.06/256,491.56 = 256,491.56/x
  3. Step 3: Cross multiply
    169,538.06x = 256,491.56 × 256,491.56
  4. Step 4: Simplify right side
    169,538.06x = 65,787,921,633.69
  5. Step 5: Solve for x
    x = 65,787,921,633.69/169,538.06
  6. Step 6: Final answer
    x = 388,042.19

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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.