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Finding the Third Proportional to 81,286 and 173,844

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Solution

The third proportional to 81,286 and 173,844 is: 371,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,286 : 173,844 = 173,844 : x
  2. Step 2: Convert to fraction form
    81,286/173,844 = 173,844/x
  3. Step 3: Cross multiply
    81,286x = 173,844 × 173,844
  4. Step 4: Simplify right side
    81,286x = 30,221,736,336
  5. Step 5: Solve for x
    x = 30,221,736,336/81,286
  6. Step 6: Final answer
    x = 371,795.10

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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.