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Finding the Third Proportional to 309,160 and 491,794

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Solution

The third proportional to 309,160 and 491,794 is: 782,317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,160 : 491,794 = 491,794 : x
  2. Step 2: Convert to fraction form
    309,160/491,794 = 491,794/x
  3. Step 3: Cross multiply
    309,160x = 491,794 × 491,794
  4. Step 4: Simplify right side
    309,160x = 241,861,338,436
  5. Step 5: Solve for x
    x = 241,861,338,436/309,160
  6. Step 6: Final answer
    x = 782,317.69

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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.