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Finding the Third Proportional to 15,709 and 34,183

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Solution

The third proportional to 15,709 and 34,183 is: 74,382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709 : 34,183 = 34,183 : x
  2. Step 2: Convert to fraction form
    15,709/34,183 = 34,183/x
  3. Step 3: Cross multiply
    15,709x = 34,183 × 34,183
  4. Step 4: Simplify right side
    15,709x = 1,168,477,489
  5. Step 5: Solve for x
    x = 1,168,477,489/15,709
  6. Step 6: Final answer
    x = 74,382.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.