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Finding the Third Proportional to 40,075 and 57,265

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Solution

The third proportional to 40,075 and 57,265 is: 81,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,075 : 57,265 = 57,265 : x
  2. Step 2: Convert to fraction form
    40,075/57,265 = 57,265/x
  3. Step 3: Cross multiply
    40,075x = 57,265 × 57,265
  4. Step 4: Simplify right side
    40,075x = 3,279,280,225
  5. Step 5: Solve for x
    x = 3,279,280,225/40,075
  6. Step 6: Final answer
    x = 81,828.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.