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Finding the Third Proportional to 221,022 and 477,009

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Solution

The third proportional to 221,022 and 477,009 is: 1,029,479.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,022 : 477,009 = 477,009 : x
  2. Step 2: Convert to fraction form
    221,022/477,009 = 477,009/x
  3. Step 3: Cross multiply
    221,022x = 477,009 × 477,009
  4. Step 4: Simplify right side
    221,022x = 227,537,586,081
  5. Step 5: Solve for x
    x = 227,537,586,081/221,022
  6. Step 6: Final answer
    x = 1,029,479.36

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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.