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Finding the Third Proportional to 51,075 and 71,508

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Solution

The third proportional to 51,075 and 71,508 is: 100,115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,075 : 71,508 = 71,508 : x
  2. Step 2: Convert to fraction form
    51,075/71,508 = 71,508/x
  3. Step 3: Cross multiply
    51,075x = 71,508 × 71,508
  4. Step 4: Simplify right side
    51,075x = 5,113,394,064
  5. Step 5: Solve for x
    x = 5,113,394,064/51,075
  6. Step 6: Final answer
    x = 100,115.40

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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.