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Finding the Third Proportional to 91,056 and 136,848

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Solution

The third proportional to 91,056 and 136,848 is: 205,668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,056 : 136,848 = 136,848 : x
  2. Step 2: Convert to fraction form
    91,056/136,848 = 136,848/x
  3. Step 3: Cross multiply
    91,056x = 136,848 × 136,848
  4. Step 4: Simplify right side
    91,056x = 18,727,375,104
  5. Step 5: Solve for x
    x = 18,727,375,104/91,056
  6. Step 6: Final answer
    x = 205,668.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.