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Finding the Third Proportional to 81,278 and 173,828

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Solution

The third proportional to 81,278 and 173,828 is: 371,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,278 : 173,828 = 173,828 : x
  2. Step 2: Convert to fraction form
    81,278/173,828 = 173,828/x
  3. Step 3: Cross multiply
    81,278x = 173,828 × 173,828
  4. Step 4: Simplify right side
    81,278x = 30,216,173,584
  5. Step 5: Solve for x
    x = 30,216,173,584/81,278
  6. Step 6: Final answer
    x = 371,763.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.