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Finding the Third Proportional to 7,685 and 12,326

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Solution

The third proportional to 7,685 and 12,326 is: 19,769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685 : 12,326 = 12,326 : x
  2. Step 2: Convert to fraction form
    7,685/12,326 = 12,326/x
  3. Step 3: Cross multiply
    7,685x = 12,326 × 12,326
  4. Step 4: Simplify right side
    7,685x = 151,930,276
  5. Step 5: Solve for x
    x = 151,930,276/7,685
  6. Step 6: Final answer
    x = 19,769.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.