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Finding the Third Proportional to 66,816 and 144,075

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Solution

The third proportional to 66,816 and 144,075 is: 310,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,816 : 144,075 = 144,075 : x
  2. Step 2: Convert to fraction form
    66,816/144,075 = 144,075/x
  3. Step 3: Cross multiply
    66,816x = 144,075 × 144,075
  4. Step 4: Simplify right side
    66,816x = 20,757,605,625
  5. Step 5: Solve for x
    x = 20,757,605,625/66,816
  6. Step 6: Final answer
    x = 310,668.19

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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.