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Finding the Third Proportional to 216,009 and 471,321

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Solution

The third proportional to 216,009 and 471,321 is: 1,028,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,009 : 471,321 = 471,321 : x
  2. Step 2: Convert to fraction form
    216,009/471,321 = 471,321/x
  3. Step 3: Cross multiply
    216,009x = 471,321 × 471,321
  4. Step 4: Simplify right side
    216,009x = 222,143,485,041
  5. Step 5: Solve for x
    x = 222,143,485,041/216,009
  6. Step 6: Final answer
    x = 1,028,399.21

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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.