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Finding the Third Proportional to 511,407 and 782,682.75

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Solution

The third proportional to 511,407 and 782,682.75 is: 1,197,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,407 : 782,682.75 = 782,682.75 : x
  2. Step 2: Convert to fraction form
    511,407/782,682.75 = 782,682.75/x
  3. Step 3: Cross multiply
    511,407x = 782,682.75 × 782,682.75
  4. Step 4: Simplify right side
    511,407x = 612,592,287,147.56
  5. Step 5: Solve for x
    x = 612,592,287,147.56/511,407
  6. Step 6: Final answer
    x = 1,197,856.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.