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Finding the Third Proportional to 325,005.75 and 724,691.25

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Solution

The third proportional to 325,005.75 and 724,691.25 is: 1,615,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,005.75 : 724,691.25 = 724,691.25 : x
  2. Step 2: Convert to fraction form
    325,005.75/724,691.25 = 724,691.25/x
  3. Step 3: Cross multiply
    325,005.75x = 724,691.25 × 724,691.25
  4. Step 4: Simplify right side
    325,005.75x = 525,177,407,826.56
  5. Step 5: Solve for x
    x = 525,177,407,826.56/325,005.75
  6. Step 6: Final answer
    x = 1,615,901.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.