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Finding the Third Proportional to 213,506 and 494,213

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Solution

The third proportional to 213,506 and 494,213 is: 1,143,979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,506 : 494,213 = 494,213 : x
  2. Step 2: Convert to fraction form
    213,506/494,213 = 494,213/x
  3. Step 3: Cross multiply
    213,506x = 494,213 × 494,213
  4. Step 4: Simplify right side
    213,506x = 244,246,489,369
  5. Step 5: Solve for x
    x = 244,246,489,369/213,506
  6. Step 6: Final answer
    x = 1,143,979.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.