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Finding the Third Proportional to 213,814 and 459,218

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Solution

The third proportional to 213,814 and 459,218 is: 986,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,814 : 459,218 = 459,218 : x
  2. Step 2: Convert to fraction form
    213,814/459,218 = 459,218/x
  3. Step 3: Cross multiply
    213,814x = 459,218 × 459,218
  4. Step 4: Simplify right side
    213,814x = 210,881,171,524
  5. Step 5: Solve for x
    x = 210,881,171,524/213,814
  6. Step 6: Final answer
    x = 986,283.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.