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Finding the Third Proportional to 327,870 and 720,054

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Solution

The third proportional to 327,870 and 720,054 is: 1,581,351.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,870 : 720,054 = 720,054 : x
  2. Step 2: Convert to fraction form
    327,870/720,054 = 720,054/x
  3. Step 3: Cross multiply
    327,870x = 720,054 × 720,054
  4. Step 4: Simplify right side
    327,870x = 518,477,762,916
  5. Step 5: Solve for x
    x = 518,477,762,916/327,870
  6. Step 6: Final answer
    x = 1,581,351.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.