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Finding the Third Proportional to 328,079 and 717,880

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Solution

The third proportional to 328,079 and 717,880 is: 1,570,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,079 : 717,880 = 717,880 : x
  2. Step 2: Convert to fraction form
    328,079/717,880 = 717,880/x
  3. Step 3: Cross multiply
    328,079x = 717,880 × 717,880
  4. Step 4: Simplify right side
    328,079x = 515,351,694,400
  5. Step 5: Solve for x
    x = 515,351,694,400/328,079
  6. Step 6: Final answer
    x = 1,570,815.85

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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.