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Finding the Third Proportional to 257,282 and 682,912

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Solution

The third proportional to 257,282 and 682,912 is: 1,812,675.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,282 : 682,912 = 682,912 : x
  2. Step 2: Convert to fraction form
    257,282/682,912 = 682,912/x
  3. Step 3: Cross multiply
    257,282x = 682,912 × 682,912
  4. Step 4: Simplify right side
    257,282x = 466,368,799,744
  5. Step 5: Solve for x
    x = 466,368,799,744/257,282
  6. Step 6: Final answer
    x = 1,812,675.58

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.