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Finding the Third Proportional to 57,684 and 87,606

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Solution

The third proportional to 57,684 and 87,606 is: 133,049.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,684 : 87,606 = 87,606 : x
  2. Step 2: Convert to fraction form
    57,684/87,606 = 87,606/x
  3. Step 3: Cross multiply
    57,684x = 87,606 × 87,606
  4. Step 4: Simplify right side
    57,684x = 7,674,811,236
  5. Step 5: Solve for x
    x = 7,674,811,236/57,684
  6. Step 6: Final answer
    x = 133,049.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.