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Finding the Third Proportional to 30,911 and 35,285

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Solution

The third proportional to 30,911 and 35,285 is: 40,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,911 : 35,285 = 35,285 : x
  2. Step 2: Convert to fraction form
    30,911/35,285 = 35,285/x
  3. Step 3: Cross multiply
    30,911x = 35,285 × 35,285
  4. Step 4: Simplify right side
    30,911x = 1,245,031,225
  5. Step 5: Solve for x
    x = 1,245,031,225/30,911
  6. Step 6: Final answer
    x = 40,277.93

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.