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Finding the Third Proportional to 78,375 and 117,379

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Solution

The third proportional to 78,375 and 117,379 is: 175,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,375 : 117,379 = 117,379 : x
  2. Step 2: Convert to fraction form
    78,375/117,379 = 117,379/x
  3. Step 3: Cross multiply
    78,375x = 117,379 × 117,379
  4. Step 4: Simplify right side
    78,375x = 13,777,829,641
  5. Step 5: Solve for x
    x = 13,777,829,641/78,375
  6. Step 6: Final answer
    x = 175,793.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.