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Finding the Third Proportional to 328,059 and 717,839

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Solution

The third proportional to 328,059 and 717,839 is: 1,570,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,059 : 717,839 = 717,839 : x
  2. Step 2: Convert to fraction form
    328,059/717,839 = 717,839/x
  3. Step 3: Cross multiply
    328,059x = 717,839 × 717,839
  4. Step 4: Simplify right side
    328,059x = 515,292,829,921
  5. Step 5: Solve for x
    x = 515,292,829,921/328,059
  6. Step 6: Final answer
    x = 1,570,732.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.