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Finding the Third Proportional to 310,450 and 474,698

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Solution

The third proportional to 310,450 and 474,698 is: 725,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,450 : 474,698 = 474,698 : x
  2. Step 2: Convert to fraction form
    310,450/474,698 = 474,698/x
  3. Step 3: Cross multiply
    310,450x = 474,698 × 474,698
  4. Step 4: Simplify right side
    310,450x = 225,338,191,204
  5. Step 5: Solve for x
    x = 225,338,191,204/310,450
  6. Step 6: Final answer
    x = 725,843.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.