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Finding the Third Proportional to 70,561 and 108,089

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Solution

The third proportional to 70,561 and 108,089 is: 165,576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,561 : 108,089 = 108,089 : x
  2. Step 2: Convert to fraction form
    70,561/108,089 = 108,089/x
  3. Step 3: Cross multiply
    70,561x = 108,089 × 108,089
  4. Step 4: Simplify right side
    70,561x = 11,683,231,921
  5. Step 5: Solve for x
    x = 11,683,231,921/70,561
  6. Step 6: Final answer
    x = 165,576.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.