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Finding the Third Proportional to 89,640.42 and 195,580.83

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Solution

The third proportional to 89,640.42 and 195,580.83 is: 426,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,640.42 : 195,580.83 = 195,580.83 : x
  2. Step 2: Convert to fraction form
    89,640.42/195,580.83 = 195,580.83/x
  3. Step 3: Cross multiply
    89,640.42x = 195,580.83 × 195,580.83
  4. Step 4: Simplify right side
    89,640.42x = 38,251,860,330.06
  5. Step 5: Solve for x
    x = 38,251,860,330.06/89,640.42
  6. Step 6: Final answer
    x = 426,725.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.