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Finding the Third Proportional to 28,314 and 39,611

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Solution

The third proportional to 28,314 and 39,611 is: 55,415.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,314 : 39,611 = 39,611 : x
  2. Step 2: Convert to fraction form
    28,314/39,611 = 39,611/x
  3. Step 3: Cross multiply
    28,314x = 39,611 × 39,611
  4. Step 4: Simplify right side
    28,314x = 1,569,031,321
  5. Step 5: Solve for x
    x = 1,569,031,321/28,314
  6. Step 6: Final answer
    x = 55,415.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.