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Finding the Third Proportional to 118,917 and 254,438

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Solution

The third proportional to 118,917 and 254,438 is: 544,402.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,917 : 254,438 = 254,438 : x
  2. Step 2: Convert to fraction form
    118,917/254,438 = 254,438/x
  3. Step 3: Cross multiply
    118,917x = 254,438 × 254,438
  4. Step 4: Simplify right side
    118,917x = 64,738,695,844
  5. Step 5: Solve for x
    x = 64,738,695,844/118,917
  6. Step 6: Final answer
    x = 544,402.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.