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Finding the Third Proportional to 34,200 and 73,865.25

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Solution

The third proportional to 34,200 and 73,865.25 is: 159,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,200 : 73,865.25 = 73,865.25 : x
  2. Step 2: Convert to fraction form
    34,200/73,865.25 = 73,865.25/x
  3. Step 3: Cross multiply
    34,200x = 73,865.25 × 73,865.25
  4. Step 4: Simplify right side
    34,200x = 5,456,075,157.56
  5. Step 5: Solve for x
    x = 5,456,075,157.56/34,200
  6. Step 6: Final answer
    x = 159,534.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.