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Finding the Third Proportional to 9,120 and 13,326

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Solution

The third proportional to 9,120 and 13,326 is: 19,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120 : 13,326 = 13,326 : x
  2. Step 2: Convert to fraction form
    9,120/13,326 = 13,326/x
  3. Step 3: Cross multiply
    9,120x = 13,326 × 13,326
  4. Step 4: Simplify right side
    9,120x = 177,582,276
  5. Step 5: Solve for x
    x = 177,582,276/9,120
  6. Step 6: Final answer
    x = 19,471.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.