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Finding the Third Proportional to 311,577 and 488,145

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Solution

The third proportional to 311,577 and 488,145 is: 764,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,577 : 488,145 = 488,145 : x
  2. Step 2: Convert to fraction form
    311,577/488,145 = 488,145/x
  3. Step 3: Cross multiply
    311,577x = 488,145 × 488,145
  4. Step 4: Simplify right side
    311,577x = 238,285,541,025
  5. Step 5: Solve for x
    x = 238,285,541,025/311,577
  6. Step 6: Final answer
    x = 764,772.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.