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Finding the Third Proportional to 354,406.50 and 764,808.75

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Solution

The third proportional to 354,406.50 and 764,808.75 is: 1,650,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,406.50 : 764,808.75 = 764,808.75 : x
  2. Step 2: Convert to fraction form
    354,406.50/764,808.75 = 764,808.75/x
  3. Step 3: Cross multiply
    354,406.50x = 764,808.75 × 764,808.75
  4. Step 4: Simplify right side
    354,406.50x = 584,932,424,076.56
  5. Step 5: Solve for x
    x = 584,932,424,076.56/354,406.50
  6. Step 6: Final answer
    x = 1,650,456.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.