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Finding the Third Proportional to 116,790 and 256,908

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Solution

The third proportional to 116,790 and 256,908 is: 565,131.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,790 : 256,908 = 256,908 : x
  2. Step 2: Convert to fraction form
    116,790/256,908 = 256,908/x
  3. Step 3: Cross multiply
    116,790x = 256,908 × 256,908
  4. Step 4: Simplify right side
    116,790x = 66,001,720,464
  5. Step 5: Solve for x
    x = 66,001,720,464/116,790
  6. Step 6: Final answer
    x = 565,131.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.