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Finding the Third Proportional to 307,774 and 491,676

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Solution

The third proportional to 307,774 and 491,676 is: 785,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,774 : 491,676 = 491,676 : x
  2. Step 2: Convert to fraction form
    307,774/491,676 = 491,676/x
  3. Step 3: Cross multiply
    307,774x = 491,676 × 491,676
  4. Step 4: Simplify right side
    307,774x = 241,745,288,976
  5. Step 5: Solve for x
    x = 241,745,288,976/307,774
  6. Step 6: Final answer
    x = 785,463.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.