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Finding the Third Proportional to 382,868 and 563,245

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Solution

The third proportional to 382,868 and 563,245 is: 828,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,868 : 563,245 = 563,245 : x
  2. Step 2: Convert to fraction form
    382,868/563,245 = 563,245/x
  3. Step 3: Cross multiply
    382,868x = 563,245 × 563,245
  4. Step 4: Simplify right side
    382,868x = 317,244,930,025
  5. Step 5: Solve for x
    x = 317,244,930,025/382,868
  6. Step 6: Final answer
    x = 828,601.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.