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Finding the Third Proportional to 306,263 and 491,682

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Solution

The third proportional to 306,263 and 491,682 is: 789,358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,263 : 491,682 = 491,682 : x
  2. Step 2: Convert to fraction form
    306,263/491,682 = 491,682/x
  3. Step 3: Cross multiply
    306,263x = 491,682 × 491,682
  4. Step 4: Simplify right side
    306,263x = 241,751,189,124
  5. Step 5: Solve for x
    x = 241,751,189,124/306,263
  6. Step 6: Final answer
    x = 789,358.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.