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Finding the Third Proportional to 318,296 and 430,756

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Solution

The third proportional to 318,296 and 430,756 is: 582,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,296 : 430,756 = 430,756 : x
  2. Step 2: Convert to fraction form
    318,296/430,756 = 430,756/x
  3. Step 3: Cross multiply
    318,296x = 430,756 × 430,756
  4. Step 4: Simplify right side
    318,296x = 185,550,731,536
  5. Step 5: Solve for x
    x = 185,550,731,536/318,296
  6. Step 6: Final answer
    x = 582,950.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.