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Finding the Third Proportional to 212,086 and 457,381

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Solution

The third proportional to 212,086 and 457,381 is: 986,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,086 : 457,381 = 457,381 : x
  2. Step 2: Convert to fraction form
    212,086/457,381 = 457,381/x
  3. Step 3: Cross multiply
    212,086x = 457,381 × 457,381
  4. Step 4: Simplify right side
    212,086x = 209,197,379,161
  5. Step 5: Solve for x
    x = 209,197,379,161/212,086
  6. Step 6: Final answer
    x = 986,379.96

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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.