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Finding the Third Proportional to 307,896 and 490,302

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Solution

The third proportional to 307,896 and 490,302 is: 780,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,896 : 490,302 = 490,302 : x
  2. Step 2: Convert to fraction form
    307,896/490,302 = 490,302/x
  3. Step 3: Cross multiply
    307,896x = 490,302 × 490,302
  4. Step 4: Simplify right side
    307,896x = 240,396,051,204
  5. Step 5: Solve for x
    x = 240,396,051,204/307,896
  6. Step 6: Final answer
    x = 780,770.30

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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.