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Finding the Third Proportional to 15,414 and 31,558

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Solution

The third proportional to 15,414 and 31,558 is: 64,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,414 : 31,558 = 31,558 : x
  2. Step 2: Convert to fraction form
    15,414/31,558 = 31,558/x
  3. Step 3: Cross multiply
    15,414x = 31,558 × 31,558
  4. Step 4: Simplify right side
    15,414x = 995,907,364
  5. Step 5: Solve for x
    x = 995,907,364/15,414
  6. Step 6: Final answer
    x = 64,610.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.