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Finding the Third Proportional to 78,937.50 and 120,375

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Solution

The third proportional to 78,937.50 and 120,375 is: 183,564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,937.50 : 120,375 = 120,375 : x
  2. Step 2: Convert to fraction form
    78,937.50/120,375 = 120,375/x
  3. Step 3: Cross multiply
    78,937.50x = 120,375 × 120,375
  4. Step 4: Simplify right side
    78,937.50x = 14,490,140,625
  5. Step 5: Solve for x
    x = 14,490,140,625/78,937.50
  6. Step 6: Final answer
    x = 183,564.73

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.