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Finding the Third Proportional to 307,898 and 490,306

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Solution

The third proportional to 307,898 and 490,306 is: 780,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,898 : 490,306 = 490,306 : x
  2. Step 2: Convert to fraction form
    307,898/490,306 = 490,306/x
  3. Step 3: Cross multiply
    307,898x = 490,306 × 490,306
  4. Step 4: Simplify right side
    307,898x = 240,399,973,636
  5. Step 5: Solve for x
    x = 240,399,973,636/307,898
  6. Step 6: Final answer
    x = 780,777.96

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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.