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Finding the Third Proportional to 311,580 and 488,148

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Solution

The third proportional to 311,580 and 488,148 is: 764,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,580 : 488,148 = 488,148 : x
  2. Step 2: Convert to fraction form
    311,580/488,148 = 488,148/x
  3. Step 3: Cross multiply
    311,580x = 488,148 × 488,148
  4. Step 4: Simplify right side
    311,580x = 238,288,469,904
  5. Step 5: Solve for x
    x = 238,288,469,904/311,580
  6. Step 6: Final answer
    x = 764,774.60

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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.