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Finding the Third Proportional to 218,795 and 483,517

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Solution

The third proportional to 218,795 and 483,517 is: 1,068,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,795 : 483,517 = 483,517 : x
  2. Step 2: Convert to fraction form
    218,795/483,517 = 483,517/x
  3. Step 3: Cross multiply
    218,795x = 483,517 × 483,517
  4. Step 4: Simplify right side
    218,795x = 233,788,689,289
  5. Step 5: Solve for x
    x = 233,788,689,289/218,795
  6. Step 6: Final answer
    x = 1,068,528.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.