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Finding the Third Proportional to 663,066 and 998,473.50

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Solution

The third proportional to 663,066 and 998,473.50 is: 1,503,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,066 : 998,473.50 = 998,473.50 : x
  2. Step 2: Convert to fraction form
    663,066/998,473.50 = 998,473.50/x
  3. Step 3: Cross multiply
    663,066x = 998,473.50 × 998,473.50
  4. Step 4: Simplify right side
    663,066x = 996,949,330,202.25
  5. Step 5: Solve for x
    x = 996,949,330,202.25/663,066
  6. Step 6: Final answer
    x = 1,503,544.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.