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Finding the Third Proportional to 218,911 and 471,586

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Solution

The third proportional to 218,911 and 471,586 is: 1,015,907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,911 : 471,586 = 471,586 : x
  2. Step 2: Convert to fraction form
    218,911/471,586 = 471,586/x
  3. Step 3: Cross multiply
    218,911x = 471,586 × 471,586
  4. Step 4: Simplify right side
    218,911x = 222,393,355,396
  5. Step 5: Solve for x
    x = 222,393,355,396/218,911
  6. Step 6: Final answer
    x = 1,015,907.63

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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.