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Finding the Third Proportional to 91,962 and 142,083

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Solution

The third proportional to 91,962 and 142,083 is: 219,520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,962 : 142,083 = 142,083 : x
  2. Step 2: Convert to fraction form
    91,962/142,083 = 142,083/x
  3. Step 3: Cross multiply
    91,962x = 142,083 × 142,083
  4. Step 4: Simplify right side
    91,962x = 20,187,578,889
  5. Step 5: Solve for x
    x = 20,187,578,889/91,962
  6. Step 6: Final answer
    x = 219,520.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.