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Finding the Third Proportional to 218,659 and 471,770

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Solution

The third proportional to 218,659 and 471,770 is: 1,017,872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,659 : 471,770 = 471,770 : x
  2. Step 2: Convert to fraction form
    218,659/471,770 = 471,770/x
  3. Step 3: Cross multiply
    218,659x = 471,770 × 471,770
  4. Step 4: Simplify right side
    218,659x = 222,566,932,900
  5. Step 5: Solve for x
    x = 222,566,932,900/218,659
  6. Step 6: Final answer
    x = 1,017,872.27

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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.