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Finding the Third Proportional to 815,298.75 and 1,198,968.75

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Solution

The third proportional to 815,298.75 and 1,198,968.75 is: 1,763,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,298.75 : 1,198,968.75 = 1,198,968.75 : x
  2. Step 2: Convert to fraction form
    815,298.75/1,198,968.75 = 1,198,968.75/x
  3. Step 3: Cross multiply
    815,298.75x = 1,198,968.75 × 1,198,968.75
  4. Step 4: Simplify right side
    815,298.75x = 1,437,526,063,476.56
  5. Step 5: Solve for x
    x = 1,437,526,063,476.56/815,298.75
  6. Step 6: Final answer
    x = 1,763,189.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.