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Finding the Third Proportional to 311,036 and 655,272

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Solution

The third proportional to 311,036 and 655,272 is: 1,380,487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,036 : 655,272 = 655,272 : x
  2. Step 2: Convert to fraction form
    311,036/655,272 = 655,272/x
  3. Step 3: Cross multiply
    311,036x = 655,272 × 655,272
  4. Step 4: Simplify right side
    311,036x = 429,381,393,984
  5. Step 5: Solve for x
    x = 429,381,393,984/311,036
  6. Step 6: Final answer
    x = 1,380,487.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.