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Finding the Third Proportional to 18,292 and 40,075

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Solution

The third proportional to 18,292 and 40,075 is: 87,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,292 : 40,075 = 40,075 : x
  2. Step 2: Convert to fraction form
    18,292/40,075 = 40,075/x
  3. Step 3: Cross multiply
    18,292x = 40,075 × 40,075
  4. Step 4: Simplify right side
    18,292x = 1,606,005,625
  5. Step 5: Solve for x
    x = 1,606,005,625/18,292
  6. Step 6: Final answer
    x = 87,798.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.