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Finding the Third Proportional to 89,748.50 and 140,801

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Solution

The third proportional to 89,748.50 and 140,801 is: 220,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,748.50 : 140,801 = 140,801 : x
  2. Step 2: Convert to fraction form
    89,748.50/140,801 = 140,801/x
  3. Step 3: Cross multiply
    89,748.50x = 140,801 × 140,801
  4. Step 4: Simplify right side
    89,748.50x = 19,824,921,601
  5. Step 5: Solve for x
    x = 19,824,921,601/89,748.50
  6. Step 6: Final answer
    x = 220,894.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.