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Finding the Third Proportional to 443,892.66 and 978,272.44

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Solution

The third proportional to 443,892.66 and 978,272.44 is: 2,155,964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,892.66 : 978,272.44 = 978,272.44 : x
  2. Step 2: Convert to fraction form
    443,892.66/978,272.44 = 978,272.44/x
  3. Step 3: Cross multiply
    443,892.66x = 978,272.44 × 978,272.44
  4. Step 4: Simplify right side
    443,892.66x = 957,016,961,972.19
  5. Step 5: Solve for x
    x = 957,016,961,972.19/443,892.66
  6. Step 6: Final answer
    x = 2,155,964.85

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Why These Related Problems?

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