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Finding the Third Proportional to 117,756 and 254,286

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Solution

The third proportional to 117,756 and 254,286 is: 549,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,756 : 254,286 = 254,286 : x
  2. Step 2: Convert to fraction form
    117,756/254,286 = 254,286/x
  3. Step 3: Cross multiply
    117,756x = 254,286 × 254,286
  4. Step 4: Simplify right side
    117,756x = 64,661,369,796
  5. Step 5: Solve for x
    x = 64,661,369,796/117,756
  6. Step 6: Final answer
    x = 549,113.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.