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Finding the Third Proportional to 213,009.75 and 459,234.56

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Solution

The third proportional to 213,009.75 and 459,234.56 is: 990,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,009.75 : 459,234.56 = 459,234.56 : x
  2. Step 2: Convert to fraction form
    213,009.75/459,234.56 = 459,234.56/x
  3. Step 3: Cross multiply
    213,009.75x = 459,234.56 × 459,234.56
  4. Step 4: Simplify right side
    213,009.75x = 210,896,383,394.57
  5. Step 5: Solve for x
    x = 210,896,383,394.57/213,009.75
  6. Step 6: Final answer
    x = 990,078.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.