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Finding the Third Proportional to 34,157 and 70,015

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Solution

The third proportional to 34,157 and 70,015 is: 143,516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,157 : 70,015 = 70,015 : x
  2. Step 2: Convert to fraction form
    34,157/70,015 = 70,015/x
  3. Step 3: Cross multiply
    34,157x = 70,015 × 70,015
  4. Step 4: Simplify right side
    34,157x = 4,902,100,225
  5. Step 5: Solve for x
    x = 4,902,100,225/34,157
  6. Step 6: Final answer
    x = 143,516.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.