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Finding the Third Proportional to 318,850 and 488,318

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Solution

The third proportional to 318,850 and 488,318 is: 747,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,850 : 488,318 = 488,318 : x
  2. Step 2: Convert to fraction form
    318,850/488,318 = 488,318/x
  3. Step 3: Cross multiply
    318,850x = 488,318 × 488,318
  4. Step 4: Simplify right side
    318,850x = 238,454,469,124
  5. Step 5: Solve for x
    x = 238,454,469,124/318,850
  6. Step 6: Final answer
    x = 747,857.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.