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Finding the Third Proportional to 31,169 and 81,841

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Solution

The third proportional to 31,169 and 81,841 is: 214,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,169 : 81,841 = 81,841 : x
  2. Step 2: Convert to fraction form
    31,169/81,841 = 81,841/x
  3. Step 3: Cross multiply
    31,169x = 81,841 × 81,841
  4. Step 4: Simplify right side
    31,169x = 6,697,949,281
  5. Step 5: Solve for x
    x = 6,697,949,281/31,169
  6. Step 6: Final answer
    x = 214,891.38

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.