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Finding the Third Proportional to 330,696 and 717,768

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Solution

The third proportional to 330,696 and 717,768 is: 1,557,898.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,696 : 717,768 = 717,768 : x
  2. Step 2: Convert to fraction form
    330,696/717,768 = 717,768/x
  3. Step 3: Cross multiply
    330,696x = 717,768 × 717,768
  4. Step 4: Simplify right side
    330,696x = 515,190,901,824
  5. Step 5: Solve for x
    x = 515,190,901,824/330,696
  6. Step 6: Final answer
    x = 1,557,898.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.