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Finding the Third Proportional to 288,867 and 449,043

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Solution

The third proportional to 288,867 and 449,043 is: 698,036.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,867 : 449,043 = 449,043 : x
  2. Step 2: Convert to fraction form
    288,867/449,043 = 449,043/x
  3. Step 3: Cross multiply
    288,867x = 449,043 × 449,043
  4. Step 4: Simplify right side
    288,867x = 201,639,615,849
  5. Step 5: Solve for x
    x = 201,639,615,849/288,867
  6. Step 6: Final answer
    x = 698,036.18

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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.