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Finding the Third Proportional to 117,810 and 256,356

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Solution

The third proportional to 117,810 and 256,356 is: 557,833.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,810 : 256,356 = 256,356 : x
  2. Step 2: Convert to fraction form
    117,810/256,356 = 256,356/x
  3. Step 3: Cross multiply
    117,810x = 256,356 × 256,356
  4. Step 4: Simplify right side
    117,810x = 65,718,398,736
  5. Step 5: Solve for x
    x = 65,718,398,736/117,810
  6. Step 6: Final answer
    x = 557,833.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.