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Finding the Third Proportional to 91,586 and 193,148

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Solution

The third proportional to 91,586 and 193,148 is: 407,334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,586 : 193,148 = 193,148 : x
  2. Step 2: Convert to fraction form
    91,586/193,148 = 193,148/x
  3. Step 3: Cross multiply
    91,586x = 193,148 × 193,148
  4. Step 4: Simplify right side
    91,586x = 37,306,149,904
  5. Step 5: Solve for x
    x = 37,306,149,904/91,586
  6. Step 6: Final answer
    x = 407,334.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.