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Finding the Third Proportional to 281,860 and 436,245

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Solution

The third proportional to 281,860 and 436,245 is: 675,192.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,860 : 436,245 = 436,245 : x
  2. Step 2: Convert to fraction form
    281,860/436,245 = 436,245/x
  3. Step 3: Cross multiply
    281,860x = 436,245 × 436,245
  4. Step 4: Simplify right side
    281,860x = 190,309,700,025
  5. Step 5: Solve for x
    x = 190,309,700,025/281,860
  6. Step 6: Final answer
    x = 675,192.29

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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.