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Finding the Third Proportional to 29,605 and 61,945

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Solution

The third proportional to 29,605 and 61,945 is: 129,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,605 : 61,945 = 61,945 : x
  2. Step 2: Convert to fraction form
    29,605/61,945 = 61,945/x
  3. Step 3: Cross multiply
    29,605x = 61,945 × 61,945
  4. Step 4: Simplify right side
    29,605x = 3,837,183,025
  5. Step 5: Solve for x
    x = 3,837,183,025/29,605
  6. Step 6: Final answer
    x = 129,612.67

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.