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Finding the Third Proportional to 211,923 and 458,262

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Solution

The third proportional to 211,923 and 458,262 is: 990,945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,923 : 458,262 = 458,262 : x
  2. Step 2: Convert to fraction form
    211,923/458,262 = 458,262/x
  3. Step 3: Cross multiply
    211,923x = 458,262 × 458,262
  4. Step 4: Simplify right side
    211,923x = 210,004,060,644
  5. Step 5: Solve for x
    x = 210,004,060,644/211,923
  6. Step 6: Final answer
    x = 990,945.11

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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.