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Finding the Third Proportional to 57,639 and 126,213

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Solution

The third proportional to 57,639 and 126,213 is: 276,370.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,639 : 126,213 = 126,213 : x
  2. Step 2: Convert to fraction form
    57,639/126,213 = 126,213/x
  3. Step 3: Cross multiply
    57,639x = 126,213 × 126,213
  4. Step 4: Simplify right side
    57,639x = 15,929,721,369
  5. Step 5: Solve for x
    x = 15,929,721,369/57,639
  6. Step 6: Final answer
    x = 276,370.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.