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Finding the Third Proportional to 311,069 and 481,184

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Solution

The third proportional to 311,069 and 481,184 is: 744,330.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,069 : 481,184 = 481,184 : x
  2. Step 2: Convert to fraction form
    311,069/481,184 = 481,184/x
  3. Step 3: Cross multiply
    311,069x = 481,184 × 481,184
  4. Step 4: Simplify right side
    311,069x = 231,538,041,856
  5. Step 5: Solve for x
    x = 231,538,041,856/311,069
  6. Step 6: Final answer
    x = 744,330.17

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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.