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Finding the Third Proportional to 206,088 and 449,400

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Solution

The third proportional to 206,088 and 449,400 is: 979,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,088 : 449,400 = 449,400 : x
  2. Step 2: Convert to fraction form
    206,088/449,400 = 449,400/x
  3. Step 3: Cross multiply
    206,088x = 449,400 × 449,400
  4. Step 4: Simplify right side
    206,088x = 201,960,360,000
  5. Step 5: Solve for x
    x = 201,960,360,000/206,088
  6. Step 6: Final answer
    x = 979,971.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.