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Finding the Third Proportional to 327,818 and 720,670

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Solution

The third proportional to 327,818 and 720,670 is: 1,584,309.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,818 : 720,670 = 720,670 : x
  2. Step 2: Convert to fraction form
    327,818/720,670 = 720,670/x
  3. Step 3: Cross multiply
    327,818x = 720,670 × 720,670
  4. Step 4: Simplify right side
    327,818x = 519,365,248,900
  5. Step 5: Solve for x
    x = 519,365,248,900/327,818
  6. Step 6: Final answer
    x = 1,584,309.74

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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.