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Finding the Third Proportional to 78,368.50 and 110,120.50

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Solution

The third proportional to 78,368.50 and 110,120.50 is: 154,737.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,368.50 : 110,120.50 = 110,120.50 : x
  2. Step 2: Convert to fraction form
    78,368.50/110,120.50 = 110,120.50/x
  3. Step 3: Cross multiply
    78,368.50x = 110,120.50 × 110,120.50
  4. Step 4: Simplify right side
    78,368.50x = 12,126,524,520.25
  5. Step 5: Solve for x
    x = 12,126,524,520.25/78,368.50
  6. Step 6: Final answer
    x = 154,737.23

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.