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Finding the Third Proportional to 21,214 and 49,318

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Solution

The third proportional to 21,214 and 49,318 is: 114,653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214 : 49,318 = 49,318 : x
  2. Step 2: Convert to fraction form
    21,214/49,318 = 49,318/x
  3. Step 3: Cross multiply
    21,214x = 49,318 × 49,318
  4. Step 4: Simplify right side
    21,214x = 2,432,265,124
  5. Step 5: Solve for x
    x = 2,432,265,124/21,214
  6. Step 6: Final answer
    x = 114,653.77

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.