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Finding the Third Proportional to 7,710 and 18,191

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Solution

The third proportional to 7,710 and 18,191 is: 42,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710 : 18,191 = 18,191 : x
  2. Step 2: Convert to fraction form
    7,710/18,191 = 18,191/x
  3. Step 3: Cross multiply
    7,710x = 18,191 × 18,191
  4. Step 4: Simplify right side
    7,710x = 330,912,481
  5. Step 5: Solve for x
    x = 330,912,481/7,710
  6. Step 6: Final answer
    x = 42,919.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.