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Finding the Third Proportional to 270,218 and 430,059

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Solution

The third proportional to 270,218 and 430,059 is: 684,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,218 : 430,059 = 430,059 : x
  2. Step 2: Convert to fraction form
    270,218/430,059 = 430,059/x
  3. Step 3: Cross multiply
    270,218x = 430,059 × 430,059
  4. Step 4: Simplify right side
    270,218x = 184,950,743,481
  5. Step 5: Solve for x
    x = 184,950,743,481/270,218
  6. Step 6: Final answer
    x = 684,450.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.