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Finding the Third Proportional to 6,620 and 15,326

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Solution

The third proportional to 6,620 and 15,326 is: 35,481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,620 : 15,326 = 15,326 : x
  2. Step 2: Convert to fraction form
    6,620/15,326 = 15,326/x
  3. Step 3: Cross multiply
    6,620x = 15,326 × 15,326
  4. Step 4: Simplify right side
    6,620x = 234,886,276
  5. Step 5: Solve for x
    x = 234,886,276/6,620
  6. Step 6: Final answer
    x = 35,481.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.