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Finding the Third Proportional to 78,129.75 and 110,625

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Solution

The third proportional to 78,129.75 and 110,625 is: 156,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,129.75 : 110,625 = 110,625 : x
  2. Step 2: Convert to fraction form
    78,129.75/110,625 = 110,625/x
  3. Step 3: Cross multiply
    78,129.75x = 110,625 × 110,625
  4. Step 4: Simplify right side
    78,129.75x = 12,237,890,625
  5. Step 5: Solve for x
    x = 12,237,890,625/78,129.75
  6. Step 6: Final answer
    x = 156,635.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.