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Finding the Third Proportional to 74,410 and 104,075

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Solution

The third proportional to 74,410 and 104,075 is: 145,566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,410 : 104,075 = 104,075 : x
  2. Step 2: Convert to fraction form
    74,410/104,075 = 104,075/x
  3. Step 3: Cross multiply
    74,410x = 104,075 × 104,075
  4. Step 4: Simplify right side
    74,410x = 10,831,605,625
  5. Step 5: Solve for x
    x = 10,831,605,625/74,410
  6. Step 6: Final answer
    x = 145,566.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.