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Finding the Third Proportional to 38,265 and 81,075

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Solution

The third proportional to 38,265 and 81,075 is: 171,779.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,265 : 81,075 = 81,075 : x
  2. Step 2: Convert to fraction form
    38,265/81,075 = 81,075/x
  3. Step 3: Cross multiply
    38,265x = 81,075 × 81,075
  4. Step 4: Simplify right side
    38,265x = 6,573,155,625
  5. Step 5: Solve for x
    x = 6,573,155,625/38,265
  6. Step 6: Final answer
    x = 171,779.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.