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Finding the Third Proportional to 217,753 and 342,183

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Solution

The third proportional to 217,753 and 342,183 is: 537,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,753 : 342,183 = 342,183 : x
  2. Step 2: Convert to fraction form
    217,753/342,183 = 342,183/x
  3. Step 3: Cross multiply
    217,753x = 342,183 × 342,183
  4. Step 4: Simplify right side
    217,753x = 117,089,205,489
  5. Step 5: Solve for x
    x = 117,089,205,489/217,753
  6. Step 6: Final answer
    x = 537,715.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.