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Finding the Third Proportional to 213,380 and 459,808

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Solution

The third proportional to 213,380 and 459,808 is: 990,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,380 : 459,808 = 459,808 : x
  2. Step 2: Convert to fraction form
    213,380/459,808 = 459,808/x
  3. Step 3: Cross multiply
    213,380x = 459,808 × 459,808
  4. Step 4: Simplify right side
    213,380x = 211,423,396,864
  5. Step 5: Solve for x
    x = 211,423,396,864/213,380
  6. Step 6: Final answer
    x = 990,830.43

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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.