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Finding the Third Proportional to 57,790 and 91,699

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Solution

The third proportional to 57,790 and 91,699 is: 145,504.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,790 : 91,699 = 91,699 : x
  2. Step 2: Convert to fraction form
    57,790/91,699 = 91,699/x
  3. Step 3: Cross multiply
    57,790x = 91,699 × 91,699
  4. Step 4: Simplify right side
    57,790x = 8,408,706,601
  5. Step 5: Solve for x
    x = 8,408,706,601/57,790
  6. Step 6: Final answer
    x = 145,504.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.