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Finding the Third Proportional to 2,546 and 3,435

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Solution

The third proportional to 2,546 and 3,435 is: 4,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546 : 3,435 = 3,435 : x
  2. Step 2: Convert to fraction form
    2,546/3,435 = 3,435/x
  3. Step 3: Cross multiply
    2,546x = 3,435 × 3,435
  4. Step 4: Simplify right side
    2,546x = 11,799,225
  5. Step 5: Solve for x
    x = 11,799,225/2,546
  6. Step 6: Final answer
    x = 4,634.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.