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Finding the Third Proportional to 117,285 and 255,620

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Solution

The third proportional to 117,285 and 255,620 is: 557,118.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,285 : 255,620 = 255,620 : x
  2. Step 2: Convert to fraction form
    117,285/255,620 = 255,620/x
  3. Step 3: Cross multiply
    117,285x = 255,620 × 255,620
  4. Step 4: Simplify right side
    117,285x = 65,341,584,400
  5. Step 5: Solve for x
    x = 65,341,584,400/117,285
  6. Step 6: Final answer
    x = 557,118.00

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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.