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Finding the Third Proportional to 15,286 and 31,960

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Solution

The third proportional to 15,286 and 31,960 is: 66,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,286 : 31,960 = 31,960 : x
  2. Step 2: Convert to fraction form
    15,286/31,960 = 31,960/x
  3. Step 3: Cross multiply
    15,286x = 31,960 × 31,960
  4. Step 4: Simplify right side
    15,286x = 1,021,441,600
  5. Step 5: Solve for x
    x = 1,021,441,600/15,286
  6. Step 6: Final answer
    x = 66,822.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.