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Finding the Third Proportional to 218,824 and 471,124

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Solution

The third proportional to 218,824 and 471,124 is: 1,014,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,824 : 471,124 = 471,124 : x
  2. Step 2: Convert to fraction form
    218,824/471,124 = 471,124/x
  3. Step 3: Cross multiply
    218,824x = 471,124 × 471,124
  4. Step 4: Simplify right side
    218,824x = 221,957,823,376
  5. Step 5: Solve for x
    x = 221,957,823,376/218,824
  6. Step 6: Final answer
    x = 1,014,321.21

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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.