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Finding the Third Proportional to 663,407 and 994,069

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Solution

The third proportional to 663,407 and 994,069 is: 1,489,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,407 : 994,069 = 994,069 : x
  2. Step 2: Convert to fraction form
    663,407/994,069 = 994,069/x
  3. Step 3: Cross multiply
    663,407x = 994,069 × 994,069
  4. Step 4: Simplify right side
    663,407x = 988,173,176,761
  5. Step 5: Solve for x
    x = 988,173,176,761/663,407
  6. Step 6: Final answer
    x = 1,489,542.89

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