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Finding the Third Proportional to 91,074.38 and 137,884.78

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Solution

The third proportional to 91,074.38 and 137,884.78 is: 208,754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,074.38 : 137,884.78 = 137,884.78 : x
  2. Step 2: Convert to fraction form
    91,074.38/137,884.78 = 137,884.78/x
  3. Step 3: Cross multiply
    91,074.38x = 137,884.78 × 137,884.78
  4. Step 4: Simplify right side
    91,074.38x = 19,012,212,900.36
  5. Step 5: Solve for x
    x = 19,012,212,900.36/91,074.38
  6. Step 6: Final answer
    x = 208,754.80

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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.