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Finding the Third Proportional to 213,104 and 459,416

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Solution

The third proportional to 213,104 and 459,416 is: 990,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,104 : 459,416 = 459,416 : x
  2. Step 2: Convert to fraction form
    213,104/459,416 = 459,416/x
  3. Step 3: Cross multiply
    213,104x = 459,416 × 459,416
  4. Step 4: Simplify right side
    213,104x = 211,063,061,056
  5. Step 5: Solve for x
    x = 211,063,061,056/213,104
  6. Step 6: Final answer
    x = 990,422.80

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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.