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Finding the Third Proportional to 64,984 and 135,075

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Solution

The third proportional to 64,984 and 135,075 is: 280,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,984 : 135,075 = 135,075 : x
  2. Step 2: Convert to fraction form
    64,984/135,075 = 135,075/x
  3. Step 3: Cross multiply
    64,984x = 135,075 × 135,075
  4. Step 4: Simplify right side
    64,984x = 18,245,255,625
  5. Step 5: Solve for x
    x = 18,245,255,625/64,984
  6. Step 6: Final answer
    x = 280,765.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.