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Finding the Third Proportional to 117,295 and 255,761

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Solution

The third proportional to 117,295 and 255,761 is: 557,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,295 : 255,761 = 255,761 : x
  2. Step 2: Convert to fraction form
    117,295/255,761 = 255,761/x
  3. Step 3: Cross multiply
    117,295x = 255,761 × 255,761
  4. Step 4: Simplify right side
    117,295x = 65,413,689,121
  5. Step 5: Solve for x
    x = 65,413,689,121/117,295
  6. Step 6: Final answer
    x = 557,685.23

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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.