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Finding the Third Proportional to 288,836 and 449,006

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Solution

The third proportional to 288,836 and 449,006 is: 697,996.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,836 : 449,006 = 449,006 : x
  2. Step 2: Convert to fraction form
    288,836/449,006 = 449,006/x
  3. Step 3: Cross multiply
    288,836x = 449,006 × 449,006
  4. Step 4: Simplify right side
    288,836x = 201,606,388,036
  5. Step 5: Solve for x
    x = 201,606,388,036/288,836
  6. Step 6: Final answer
    x = 697,996.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.