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Finding the Third Proportional to 109,217 and 164,828

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Solution

The third proportional to 109,217 and 164,828 is: 248,754.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,217 : 164,828 = 164,828 : x
  2. Step 2: Convert to fraction form
    109,217/164,828 = 164,828/x
  3. Step 3: Cross multiply
    109,217x = 164,828 × 164,828
  4. Step 4: Simplify right side
    109,217x = 27,168,269,584
  5. Step 5: Solve for x
    x = 27,168,269,584/109,217
  6. Step 6: Final answer
    x = 248,754.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.