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Finding the Third Proportional to 215,999 and 471,303

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Solution

The third proportional to 215,999 and 471,303 is: 1,028,368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,999 : 471,303 = 471,303 : x
  2. Step 2: Convert to fraction form
    215,999/471,303 = 471,303/x
  3. Step 3: Cross multiply
    215,999x = 471,303 × 471,303
  4. Step 4: Simplify right side
    215,999x = 222,126,517,809
  5. Step 5: Solve for x
    x = 222,126,517,809/215,999
  6. Step 6: Final answer
    x = 1,028,368.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.