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Finding the Third Proportional to 354,217.50 and 764,410.50

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Solution

The third proportional to 354,217.50 and 764,410.50 is: 1,649,617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,217.50 : 764,410.50 = 764,410.50 : x
  2. Step 2: Convert to fraction form
    354,217.50/764,410.50 = 764,410.50/x
  3. Step 3: Cross multiply
    354,217.50x = 764,410.50 × 764,410.50
  4. Step 4: Simplify right side
    354,217.50x = 584,323,412,510.25
  5. Step 5: Solve for x
    x = 584,323,412,510.25/354,217.50
  6. Step 6: Final answer
    x = 1,649,617.57

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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.