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Finding the Third Proportional to 89,932 and 192,986

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Solution

The third proportional to 89,932 and 192,986 is: 414,130.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,932 : 192,986 = 192,986 : x
  2. Step 2: Convert to fraction form
    89,932/192,986 = 192,986/x
  3. Step 3: Cross multiply
    89,932x = 192,986 × 192,986
  4. Step 4: Simplify right side
    89,932x = 37,243,596,196
  5. Step 5: Solve for x
    x = 37,243,596,196/89,932
  6. Step 6: Final answer
    x = 414,130.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.