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Finding the Third Proportional to 45,079 and 70,075

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Solution

The third proportional to 45,079 and 70,075 is: 108,931.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,079 : 70,075 = 70,075 : x
  2. Step 2: Convert to fraction form
    45,079/70,075 = 70,075/x
  3. Step 3: Cross multiply
    45,079x = 70,075 × 70,075
  4. Step 4: Simplify right side
    45,079x = 4,910,505,625
  5. Step 5: Solve for x
    x = 4,910,505,625/45,079
  6. Step 6: Final answer
    x = 108,931.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.