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Finding the Third Proportional to 213,812 and 459,214

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Solution

The third proportional to 213,812 and 459,214 is: 986,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,812 : 459,214 = 459,214 : x
  2. Step 2: Convert to fraction form
    213,812/459,214 = 459,214/x
  3. Step 3: Cross multiply
    213,812x = 459,214 × 459,214
  4. Step 4: Simplify right side
    213,812x = 210,877,497,796
  5. Step 5: Solve for x
    x = 210,877,497,796/213,812
  6. Step 6: Final answer
    x = 986,275.32

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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.