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Finding the Third Proportional to 7,769 and 12,293

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Solution

The third proportional to 7,769 and 12,293 is: 19,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769 : 12,293 = 12,293 : x
  2. Step 2: Convert to fraction form
    7,769/12,293 = 12,293/x
  3. Step 3: Cross multiply
    7,769x = 12,293 × 12,293
  4. Step 4: Simplify right side
    7,769x = 151,117,849
  5. Step 5: Solve for x
    x = 151,117,849/7,769
  6. Step 6: Final answer
    x = 19,451.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.