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Finding the Third Proportional to 309,163 and 491,795

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Solution

The third proportional to 309,163 and 491,795 is: 782,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,163 : 491,795 = 491,795 : x
  2. Step 2: Convert to fraction form
    309,163/491,795 = 491,795/x
  3. Step 3: Cross multiply
    309,163x = 491,795 × 491,795
  4. Step 4: Simplify right side
    309,163x = 241,862,322,025
  5. Step 5: Solve for x
    x = 241,862,322,025/309,163
  6. Step 6: Final answer
    x = 782,313.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.