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Finding the Third Proportional to 443,904.75 and 978,297.75

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Solution

The third proportional to 443,904.75 and 978,297.75 is: 2,156,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,904.75 : 978,297.75 = 978,297.75 : x
  2. Step 2: Convert to fraction form
    443,904.75/978,297.75 = 978,297.75/x
  3. Step 3: Cross multiply
    443,904.75x = 978,297.75 × 978,297.75
  4. Step 4: Simplify right side
    443,904.75x = 957,066,487,655.06
  5. Step 5: Solve for x
    x = 957,066,487,655.06/443,904.75
  6. Step 6: Final answer
    x = 2,156,017.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.