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Finding the Third Proportional to 262,986 and 385,199

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Solution

The third proportional to 262,986 and 385,199 is: 564,205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,986 : 385,199 = 385,199 : x
  2. Step 2: Convert to fraction form
    262,986/385,199 = 385,199/x
  3. Step 3: Cross multiply
    262,986x = 385,199 × 385,199
  4. Step 4: Simplify right side
    262,986x = 148,378,269,601
  5. Step 5: Solve for x
    x = 148,378,269,601/262,986
  6. Step 6: Final answer
    x = 564,205.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.