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Finding the Third Proportional to 91,036 and 142,496

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Solution

The third proportional to 91,036 and 142,496 is: 223,044.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,036 : 142,496 = 142,496 : x
  2. Step 2: Convert to fraction form
    91,036/142,496 = 142,496/x
  3. Step 3: Cross multiply
    91,036x = 142,496 × 142,496
  4. Step 4: Simplify right side
    91,036x = 20,305,110,016
  5. Step 5: Solve for x
    x = 20,305,110,016/91,036
  6. Step 6: Final answer
    x = 223,044.84

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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.