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Finding the Third Proportional to 69,488 and 107,662

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Solution

The third proportional to 69,488 and 107,662 is: 166,807.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,488 : 107,662 = 107,662 : x
  2. Step 2: Convert to fraction form
    69,488/107,662 = 107,662/x
  3. Step 3: Cross multiply
    69,488x = 107,662 × 107,662
  4. Step 4: Simplify right side
    69,488x = 11,591,106,244
  5. Step 5: Solve for x
    x = 11,591,106,244/69,488
  6. Step 6: Final answer
    x = 166,807.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.