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Finding the Third Proportional to 117,782 and 257,995

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Solution

The third proportional to 117,782 and 257,995 is: 565,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,782 : 257,995 = 257,995 : x
  2. Step 2: Convert to fraction form
    117,782/257,995 = 257,995/x
  3. Step 3: Cross multiply
    117,782x = 257,995 × 257,995
  4. Step 4: Simplify right side
    117,782x = 66,561,420,025
  5. Step 5: Solve for x
    x = 66,561,420,025/117,782
  6. Step 6: Final answer
    x = 565,123.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.