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Finding the Third Proportional to 21,980 and 34,318

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Solution

The third proportional to 21,980 and 34,318 is: 53,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980 : 34,318 = 34,318 : x
  2. Step 2: Convert to fraction form
    21,980/34,318 = 34,318/x
  3. Step 3: Cross multiply
    21,980x = 34,318 × 34,318
  4. Step 4: Simplify right side
    21,980x = 1,177,725,124
  5. Step 5: Solve for x
    x = 1,177,725,124/21,980
  6. Step 6: Final answer
    x = 53,581.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.