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Finding the Third Proportional to 208,381.50 and 449,145

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Solution

The third proportional to 208,381.50 and 449,145 is: 968,086.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,381.50 : 449,145 = 449,145 : x
  2. Step 2: Convert to fraction form
    208,381.50/449,145 = 449,145/x
  3. Step 3: Cross multiply
    208,381.50x = 449,145 × 449,145
  4. Step 4: Simplify right side
    208,381.50x = 201,731,231,025
  5. Step 5: Solve for x
    x = 201,731,231,025/208,381.50
  6. Step 6: Final answer
    x = 968,086.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.