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Finding the Third Proportional to 213,624 and 459,405

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Solution

The third proportional to 213,624 and 459,405 is: 987,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,624 : 459,405 = 459,405 : x
  2. Step 2: Convert to fraction form
    213,624/459,405 = 459,405/x
  3. Step 3: Cross multiply
    213,624x = 459,405 × 459,405
  4. Step 4: Simplify right side
    213,624x = 211,052,954,025
  5. Step 5: Solve for x
    x = 211,052,954,025/213,624
  6. Step 6: Final answer
    x = 987,964.62

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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.