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Finding the Third Proportional to 7,916 and 10,930

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Solution

The third proportional to 7,916 and 10,930 is: 15,091.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916 : 10,930 = 10,930 : x
  2. Step 2: Convert to fraction form
    7,916/10,930 = 10,930/x
  3. Step 3: Cross multiply
    7,916x = 10,930 × 10,930
  4. Step 4: Simplify right side
    7,916x = 119,464,900
  5. Step 5: Solve for x
    x = 119,464,900/7,916
  6. Step 6: Final answer
    x = 15,091.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.