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Finding the Third Proportional to 135,408 and 284,736

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Solution

The third proportional to 135,408 and 284,736 is: 598,742.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,408 : 284,736 = 284,736 : x
  2. Step 2: Convert to fraction form
    135,408/284,736 = 284,736/x
  3. Step 3: Cross multiply
    135,408x = 284,736 × 284,736
  4. Step 4: Simplify right side
    135,408x = 81,074,589,696
  5. Step 5: Solve for x
    x = 81,074,589,696/135,408
  6. Step 6: Final answer
    x = 598,742.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.