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Finding the Third Proportional to 213,087 and 459,384

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Solution

The third proportional to 213,087 and 459,384 is: 990,363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,087 : 459,384 = 459,384 : x
  2. Step 2: Convert to fraction form
    213,087/459,384 = 459,384/x
  3. Step 3: Cross multiply
    213,087x = 459,384 × 459,384
  4. Step 4: Simplify right side
    213,087x = 211,033,659,456
  5. Step 5: Solve for x
    x = 211,033,659,456/213,087
  6. Step 6: Final answer
    x = 990,363.84

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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.