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Finding the Third Proportional to 327,578 and 480,623

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Solution

The third proportional to 327,578 and 480,623 is: 705,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,578 : 480,623 = 480,623 : x
  2. Step 2: Convert to fraction form
    327,578/480,623 = 480,623/x
  3. Step 3: Cross multiply
    327,578x = 480,623 × 480,623
  4. Step 4: Simplify right side
    327,578x = 230,998,468,129
  5. Step 5: Solve for x
    x = 230,998,468,129/327,578
  6. Step 6: Final answer
    x = 705,170.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.