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Finding the Third Proportional to 91,012 and 137,790

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Solution

The third proportional to 91,012 and 137,790 is: 208,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,012 : 137,790 = 137,790 : x
  2. Step 2: Convert to fraction form
    91,012/137,790 = 137,790/x
  3. Step 3: Cross multiply
    91,012x = 137,790 × 137,790
  4. Step 4: Simplify right side
    91,012x = 18,986,084,100
  5. Step 5: Solve for x
    x = 18,986,084,100/91,012
  6. Step 6: Final answer
    x = 208,610.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.