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Finding the Third Proportional to 78,398 and 118,327

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Solution

The third proportional to 78,398 and 118,327 is: 178,592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,398 : 118,327 = 118,327 : x
  2. Step 2: Convert to fraction form
    78,398/118,327 = 118,327/x
  3. Step 3: Cross multiply
    78,398x = 118,327 × 118,327
  4. Step 4: Simplify right side
    78,398x = 14,001,278,929
  5. Step 5: Solve for x
    x = 14,001,278,929/78,398
  6. Step 6: Final answer
    x = 178,592.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.