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Finding the Third Proportional to 206,427 and 447,205

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Solution

The third proportional to 206,427 and 447,205 is: 968,828.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,427 : 447,205 = 447,205 : x
  2. Step 2: Convert to fraction form
    206,427/447,205 = 447,205/x
  3. Step 3: Cross multiply
    206,427x = 447,205 × 447,205
  4. Step 4: Simplify right side
    206,427x = 199,992,312,025
  5. Step 5: Solve for x
    x = 199,992,312,025/206,427
  6. Step 6: Final answer
    x = 968,828.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.