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Finding the Third Proportional to 69,135.75 and 149,343.75

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Solution

The third proportional to 69,135.75 and 149,343.75 is: 322,605.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,135.75 : 149,343.75 = 149,343.75 : x
  2. Step 2: Convert to fraction form
    69,135.75/149,343.75 = 149,343.75/x
  3. Step 3: Cross multiply
    69,135.75x = 149,343.75 × 149,343.75
  4. Step 4: Simplify right side
    69,135.75x = 22,303,555,664.06
  5. Step 5: Solve for x
    x = 22,303,555,664.06/69,135.75
  6. Step 6: Final answer
    x = 322,605.25

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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.