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Finding the Third Proportional to 7,800 and 12,097

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Solution

The third proportional to 7,800 and 12,097 is: 18,761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800 : 12,097 = 12,097 : x
  2. Step 2: Convert to fraction form
    7,800/12,097 = 12,097/x
  3. Step 3: Cross multiply
    7,800x = 12,097 × 12,097
  4. Step 4: Simplify right side
    7,800x = 146,337,409
  5. Step 5: Solve for x
    x = 146,337,409/7,800
  6. Step 6: Final answer
    x = 18,761.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.