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Finding the Third Proportional to 111,323 and 170,661

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Solution

The third proportional to 111,323 and 170,661 is: 261,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,323 : 170,661 = 170,661 : x
  2. Step 2: Convert to fraction form
    111,323/170,661 = 170,661/x
  3. Step 3: Cross multiply
    111,323x = 170,661 × 170,661
  4. Step 4: Simplify right side
    111,323x = 29,125,176,921
  5. Step 5: Solve for x
    x = 29,125,176,921/111,323
  6. Step 6: Final answer
    x = 261,627.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.