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Finding the Third Proportional to 69,012.75 and 148,899.75

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Solution

The third proportional to 69,012.75 and 148,899.75 is: 321,261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,012.75 : 148,899.75 = 148,899.75 : x
  2. Step 2: Convert to fraction form
    69,012.75/148,899.75 = 148,899.75/x
  3. Step 3: Cross multiply
    69,012.75x = 148,899.75 × 148,899.75
  4. Step 4: Simplify right side
    69,012.75x = 22,171,135,550.06
  5. Step 5: Solve for x
    x = 22,171,135,550.06/69,012.75
  6. Step 6: Final answer
    x = 321,261.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.