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Finding the Third Proportional to 69,169 and 106,822

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Solution

The third proportional to 69,169 and 106,822 is: 164,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,169 : 106,822 = 106,822 : x
  2. Step 2: Convert to fraction form
    69,169/106,822 = 106,822/x
  3. Step 3: Cross multiply
    69,169x = 106,822 × 106,822
  4. Step 4: Simplify right side
    69,169x = 11,410,939,684
  5. Step 5: Solve for x
    x = 11,410,939,684/69,169
  6. Step 6: Final answer
    x = 164,971.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.