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Finding the Third Proportional to 485,435.75 and 728,154

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Solution

The third proportional to 485,435.75 and 728,154 is: 1,092,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,435.75 : 728,154 = 728,154 : x
  2. Step 2: Convert to fraction form
    485,435.75/728,154 = 728,154/x
  3. Step 3: Cross multiply
    485,435.75x = 728,154 × 728,154
  4. Step 4: Simplify right side
    485,435.75x = 530,208,247,716
  5. Step 5: Solve for x
    x = 530,208,247,716/485,435.75
  6. Step 6: Final answer
    x = 1,092,231.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.