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Finding the Third Proportional to 288,864.56 and 449,040.38

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Solution

The third proportional to 288,864.56 and 449,040.38 is: 698,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,864.56 : 449,040.38 = 449,040.38 : x
  2. Step 2: Convert to fraction form
    288,864.56/449,040.38 = 449,040.38/x
  3. Step 3: Cross multiply
    288,864.56x = 449,040.38 × 449,040.38
  4. Step 4: Simplify right side
    288,864.56x = 201,637,258,380.14
  5. Step 5: Solve for x
    x = 201,637,258,380.14/288,864.56
  6. Step 6: Final answer
    x = 698,033.90

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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.