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Finding the Third Proportional to 667,068 and 998,778

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Solution

The third proportional to 667,068 and 998,778 is: 1,495,435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,068 : 998,778 = 998,778 : x
  2. Step 2: Convert to fraction form
    667,068/998,778 = 998,778/x
  3. Step 3: Cross multiply
    667,068x = 998,778 × 998,778
  4. Step 4: Simplify right side
    667,068x = 997,557,493,284
  5. Step 5: Solve for x
    x = 997,557,493,284/667,068
  6. Step 6: Final answer
    x = 1,495,435.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.