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Finding the Third Proportional to 118,078 and 254,811

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Solution

The third proportional to 118,078 and 254,811 is: 549,879.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,078 : 254,811 = 254,811 : x
  2. Step 2: Convert to fraction form
    118,078/254,811 = 254,811/x
  3. Step 3: Cross multiply
    118,078x = 254,811 × 254,811
  4. Step 4: Simplify right side
    118,078x = 64,928,645,721
  5. Step 5: Solve for x
    x = 64,928,645,721/118,078
  6. Step 6: Final answer
    x = 549,879.28

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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.