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Finding the Third Proportional to 69,240 and 108,477.75

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Solution

The third proportional to 69,240 and 108,477.75 is: 169,951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,240 : 108,477.75 = 108,477.75 : x
  2. Step 2: Convert to fraction form
    69,240/108,477.75 = 108,477.75/x
  3. Step 3: Cross multiply
    69,240x = 108,477.75 × 108,477.75
  4. Step 4: Simplify right side
    69,240x = 11,767,422,245.06
  5. Step 5: Solve for x
    x = 11,767,422,245.06/69,240
  6. Step 6: Final answer
    x = 169,951.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.