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Finding the Third Proportional to 8,438 and 13,558

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Solution

The third proportional to 8,438 and 13,558 is: 21,784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438 : 13,558 = 13,558 : x
  2. Step 2: Convert to fraction form
    8,438/13,558 = 13,558/x
  3. Step 3: Cross multiply
    8,438x = 13,558 × 13,558
  4. Step 4: Simplify right side
    8,438x = 183,819,364
  5. Step 5: Solve for x
    x = 183,819,364/8,438
  6. Step 6: Final answer
    x = 21,784.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.