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Finding the Third Proportional to 15,638 and 31,914

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Solution

The third proportional to 15,638 and 31,914 is: 65,130.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638 : 31,914 = 31,914 : x
  2. Step 2: Convert to fraction form
    15,638/31,914 = 31,914/x
  3. Step 3: Cross multiply
    15,638x = 31,914 × 31,914
  4. Step 4: Simplify right side
    15,638x = 1,018,503,396
  5. Step 5: Solve for x
    x = 1,018,503,396/15,638
  6. Step 6: Final answer
    x = 65,130.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.