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Finding the Third Proportional to 74,236.50 and 110,990.25

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Solution

The third proportional to 74,236.50 and 110,990.25 is: 165,940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,236.50 : 110,990.25 = 110,990.25 : x
  2. Step 2: Convert to fraction form
    74,236.50/110,990.25 = 110,990.25/x
  3. Step 3: Cross multiply
    74,236.50x = 110,990.25 × 110,990.25
  4. Step 4: Simplify right side
    74,236.50x = 12,318,835,595.06
  5. Step 5: Solve for x
    x = 12,318,835,595.06/74,236.50
  6. Step 6: Final answer
    x = 165,940.41

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Why These Related Problems?

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