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Finding the Third Proportional to 318,123 and 684,999

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Solution

The third proportional to 318,123 and 684,999 is: 1,474,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,123 : 684,999 = 684,999 : x
  2. Step 2: Convert to fraction form
    318,123/684,999 = 684,999/x
  3. Step 3: Cross multiply
    318,123x = 684,999 × 684,999
  4. Step 4: Simplify right side
    318,123x = 469,223,630,001
  5. Step 5: Solve for x
    x = 469,223,630,001/318,123
  6. Step 6: Final answer
    x = 1,474,975.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.