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Finding the Third Proportional to 218,511 and 515,085

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Solution

The third proportional to 218,511 and 515,085 is: 1,214,183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,511 : 515,085 = 515,085 : x
  2. Step 2: Convert to fraction form
    218,511/515,085 = 515,085/x
  3. Step 3: Cross multiply
    218,511x = 515,085 × 515,085
  4. Step 4: Simplify right side
    218,511x = 265,312,557,225
  5. Step 5: Solve for x
    x = 265,312,557,225/218,511
  6. Step 6: Final answer
    x = 1,214,183.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.