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Finding the Third Proportional to 236,990 and 363,405

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Solution

The third proportional to 236,990 and 363,405 is: 557,252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,990 : 363,405 = 363,405 : x
  2. Step 2: Convert to fraction form
    236,990/363,405 = 363,405/x
  3. Step 3: Cross multiply
    236,990x = 363,405 × 363,405
  4. Step 4: Simplify right side
    236,990x = 132,063,194,025
  5. Step 5: Solve for x
    x = 132,063,194,025/236,990
  6. Step 6: Final answer
    x = 557,252.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.