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Finding the Third Proportional to 408,969 and 891,286.03

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Solution

The third proportional to 408,969 and 891,286.03 is: 1,942,422.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,969 : 891,286.03 = 891,286.03 : x
  2. Step 2: Convert to fraction form
    408,969/891,286.03 = 891,286.03/x
  3. Step 3: Cross multiply
    408,969x = 891,286.03 × 891,286.03
  4. Step 4: Simplify right side
    408,969x = 794,390,789,501.38
  5. Step 5: Solve for x
    x = 794,390,789,501.38/408,969
  6. Step 6: Final answer
    x = 1,942,422.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.