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Finding the Third Proportional to 285,144 and 612,408

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Solution

The third proportional to 285,144 and 612,408 is: 1,315,277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,144 : 612,408 = 612,408 : x
  2. Step 2: Convert to fraction form
    285,144/612,408 = 612,408/x
  3. Step 3: Cross multiply
    285,144x = 612,408 × 612,408
  4. Step 4: Simplify right side
    285,144x = 375,043,558,464
  5. Step 5: Solve for x
    x = 375,043,558,464/285,144
  6. Step 6: Final answer
    x = 1,315,277.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.