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Finding the Third Proportional to 8,615 and 13,307

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Solution

The third proportional to 8,615 and 13,307 is: 20,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615 : 13,307 = 13,307 : x
  2. Step 2: Convert to fraction form
    8,615/13,307 = 13,307/x
  3. Step 3: Cross multiply
    8,615x = 13,307 × 13,307
  4. Step 4: Simplify right side
    8,615x = 177,076,249
  5. Step 5: Solve for x
    x = 177,076,249/8,615
  6. Step 6: Final answer
    x = 20,554.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.