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Finding the Third Proportional to 69,708 and 106,654

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Solution

The third proportional to 69,708 and 106,654 is: 163,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,708 : 106,654 = 106,654 : x
  2. Step 2: Convert to fraction form
    69,708/106,654 = 106,654/x
  3. Step 3: Cross multiply
    69,708x = 106,654 × 106,654
  4. Step 4: Simplify right side
    69,708x = 11,375,075,716
  5. Step 5: Solve for x
    x = 11,375,075,716/69,708
  6. Step 6: Final answer
    x = 163,181.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.