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Finding the Third Proportional to 109,672 and 239,180

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Solution

The third proportional to 109,672 and 239,180 is: 521,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,672 : 239,180 = 239,180 : x
  2. Step 2: Convert to fraction form
    109,672/239,180 = 239,180/x
  3. Step 3: Cross multiply
    109,672x = 239,180 × 239,180
  4. Step 4: Simplify right side
    109,672x = 57,207,072,400
  5. Step 5: Solve for x
    x = 57,207,072,400/109,672
  6. Step 6: Final answer
    x = 521,619.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.