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Finding the Third Proportional to 212,429.25 and 459,708.75

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Solution

The third proportional to 212,429.25 and 459,708.75 is: 994,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,429.25 : 459,708.75 = 459,708.75 : x
  2. Step 2: Convert to fraction form
    212,429.25/459,708.75 = 459,708.75/x
  3. Step 3: Cross multiply
    212,429.25x = 459,708.75 × 459,708.75
  4. Step 4: Simplify right side
    212,429.25x = 211,332,134,826.56
  5. Step 5: Solve for x
    x = 211,332,134,826.56/212,429.25
  6. Step 6: Final answer
    x = 994,835.39

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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.