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Finding the Third Proportional to 98,886 and 212,172

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Solution

The third proportional to 98,886 and 212,172 is: 455,240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,886 : 212,172 = 212,172 : x
  2. Step 2: Convert to fraction form
    98,886/212,172 = 212,172/x
  3. Step 3: Cross multiply
    98,886x = 212,172 × 212,172
  4. Step 4: Simplify right side
    98,886x = 45,016,957,584
  5. Step 5: Solve for x
    x = 45,016,957,584/98,886
  6. Step 6: Final answer
    x = 455,240.96

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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.