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Finding the Third Proportional to 663,428 and 994,099

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Solution

The third proportional to 663,428 and 994,099 is: 1,489,585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,428 : 994,099 = 994,099 : x
  2. Step 2: Convert to fraction form
    663,428/994,099 = 994,099/x
  3. Step 3: Cross multiply
    663,428x = 994,099 × 994,099
  4. Step 4: Simplify right side
    663,428x = 988,232,821,801
  5. Step 5: Solve for x
    x = 988,232,821,801/663,428
  6. Step 6: Final answer
    x = 1,489,585.64

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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.