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Finding the Third Proportional to 138,791 and 207,807

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Solution

The third proportional to 138,791 and 207,807 is: 311,142.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,791 : 207,807 = 207,807 : x
  2. Step 2: Convert to fraction form
    138,791/207,807 = 207,807/x
  3. Step 3: Cross multiply
    138,791x = 207,807 × 207,807
  4. Step 4: Simplify right side
    138,791x = 43,183,749,249
  5. Step 5: Solve for x
    x = 43,183,749,249/138,791
  6. Step 6: Final answer
    x = 311,142.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.