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Finding the Third Proportional to 91,872 and 137,806

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Solution

The third proportional to 91,872 and 137,806 is: 206,706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,872 : 137,806 = 137,806 : x
  2. Step 2: Convert to fraction form
    91,872/137,806 = 137,806/x
  3. Step 3: Cross multiply
    91,872x = 137,806 × 137,806
  4. Step 4: Simplify right side
    91,872x = 18,990,493,636
  5. Step 5: Solve for x
    x = 18,990,493,636/91,872
  6. Step 6: Final answer
    x = 206,706.00

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