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Finding the Third Proportional to 80,194.50 and 112,116.38

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Solution

The third proportional to 80,194.50 and 112,116.38 is: 156,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,194.50 : 112,116.38 = 112,116.38 : x
  2. Step 2: Convert to fraction form
    80,194.50/112,116.38 = 112,116.38/x
  3. Step 3: Cross multiply
    80,194.50x = 112,116.38 × 112,116.38
  4. Step 4: Simplify right side
    80,194.50x = 12,570,081,543.14
  5. Step 5: Solve for x
    x = 12,570,081,543.14/80,194.50
  6. Step 6: Final answer
    x = 156,744.93

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.