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Finding the Third Proportional to 34,170 and 74,169

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Solution

The third proportional to 34,170 and 74,169 is: 160,990.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,170 : 74,169 = 74,169 : x
  2. Step 2: Convert to fraction form
    34,170/74,169 = 74,169/x
  3. Step 3: Cross multiply
    34,170x = 74,169 × 74,169
  4. Step 4: Simplify right side
    34,170x = 5,501,040,561
  5. Step 5: Solve for x
    x = 5,501,040,561/34,170
  6. Step 6: Final answer
    x = 160,990.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.