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Finding the Third Proportional to 815,308.50 and 1,729,275

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Solution

The third proportional to 815,308.50 and 1,729,275 is: 3,667,804.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,308.50 : 1,729,275 = 1,729,275 : x
  2. Step 2: Convert to fraction form
    815,308.50/1,729,275 = 1,729,275/x
  3. Step 3: Cross multiply
    815,308.50x = 1,729,275 × 1,729,275
  4. Step 4: Simplify right side
    815,308.50x = 2,990,392,025,625
  5. Step 5: Solve for x
    x = 2,990,392,025,625/815,308.50
  6. Step 6: Final answer
    x = 3,667,804.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.