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Finding the Third Proportional to 213,385 and 459,852

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Solution

The third proportional to 213,385 and 459,852 is: 990,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,385 : 459,852 = 459,852 : x
  2. Step 2: Convert to fraction form
    213,385/459,852 = 459,852/x
  3. Step 3: Cross multiply
    213,385x = 459,852 × 459,852
  4. Step 4: Simplify right side
    213,385x = 211,463,861,904
  5. Step 5: Solve for x
    x = 211,463,861,904/213,385
  6. Step 6: Final answer
    x = 990,996.85

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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.