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Finding the Third Proportional to 408,078 and 633,405

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Solution

The third proportional to 408,078 and 633,405 is: 983,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,078 : 633,405 = 633,405 : x
  2. Step 2: Convert to fraction form
    408,078/633,405 = 633,405/x
  3. Step 3: Cross multiply
    408,078x = 633,405 × 633,405
  4. Step 4: Simplify right side
    408,078x = 401,201,894,025
  5. Step 5: Solve for x
    x = 401,201,894,025/408,078
  6. Step 6: Final answer
    x = 983,150.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.