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Finding the Third Proportional to 262,419 and 379,297.50

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Solution

The third proportional to 262,419 and 379,297.50 is: 548,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,419 : 379,297.50 = 379,297.50 : x
  2. Step 2: Convert to fraction form
    262,419/379,297.50 = 379,297.50/x
  3. Step 3: Cross multiply
    262,419x = 379,297.50 × 379,297.50
  4. Step 4: Simplify right side
    262,419x = 143,866,593,506.25
  5. Step 5: Solve for x
    x = 143,866,593,506.25/262,419
  6. Step 6: Final answer
    x = 548,232.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.