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Finding the Third Proportional to 208,069 and 310,183

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Solution

The third proportional to 208,069 and 310,183 is: 462,411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,069 : 310,183 = 310,183 : x
  2. Step 2: Convert to fraction form
    208,069/310,183 = 310,183/x
  3. Step 3: Cross multiply
    208,069x = 310,183 × 310,183
  4. Step 4: Simplify right side
    208,069x = 96,213,493,489
  5. Step 5: Solve for x
    x = 96,213,493,489/208,069
  6. Step 6: Final answer
    x = 462,411.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.