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Finding the Third Proportional to 213,450 and 309,153

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Solution

The third proportional to 213,450 and 309,153 is: 447,765.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,450 : 309,153 = 309,153 : x
  2. Step 2: Convert to fraction form
    213,450/309,153 = 309,153/x
  3. Step 3: Cross multiply
    213,450x = 309,153 × 309,153
  4. Step 4: Simplify right side
    213,450x = 95,575,577,409
  5. Step 5: Solve for x
    x = 95,575,577,409/213,450
  6. Step 6: Final answer
    x = 447,765.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.