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Finding the Third Proportional to 311,106 and 481,242

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Solution

The third proportional to 311,106 and 481,242 is: 744,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,106 : 481,242 = 481,242 : x
  2. Step 2: Convert to fraction form
    311,106/481,242 = 481,242/x
  3. Step 3: Cross multiply
    311,106x = 481,242 × 481,242
  4. Step 4: Simplify right side
    311,106x = 231,593,862,564
  5. Step 5: Solve for x
    x = 231,593,862,564/311,106
  6. Step 6: Final answer
    x = 744,421.07

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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.