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Finding the Third Proportional to 91,176 and 122,743

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Solution

The third proportional to 91,176 and 122,743 is: 165,239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,176 : 122,743 = 122,743 : x
  2. Step 2: Convert to fraction form
    91,176/122,743 = 122,743/x
  3. Step 3: Cross multiply
    91,176x = 122,743 × 122,743
  4. Step 4: Simplify right side
    91,176x = 15,065,844,049
  5. Step 5: Solve for x
    x = 15,065,844,049/91,176
  6. Step 6: Final answer
    x = 165,239.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.