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Finding the Third Proportional to 207,868 and 447,789

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Solution

The third proportional to 207,868 and 447,789 is: 964,626.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,868 : 447,789 = 447,789 : x
  2. Step 2: Convert to fraction form
    207,868/447,789 = 447,789/x
  3. Step 3: Cross multiply
    207,868x = 447,789 × 447,789
  4. Step 4: Simplify right side
    207,868x = 200,514,988,521
  5. Step 5: Solve for x
    x = 200,514,988,521/207,868
  6. Step 6: Final answer
    x = 964,626.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.