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Finding the Third Proportional to 330,698 and 717,772

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Solution

The third proportional to 330,698 and 717,772 is: 1,557,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,698 : 717,772 = 717,772 : x
  2. Step 2: Convert to fraction form
    330,698/717,772 = 717,772/x
  3. Step 3: Cross multiply
    330,698x = 717,772 × 717,772
  4. Step 4: Simplify right side
    330,698x = 515,196,643,984
  5. Step 5: Solve for x
    x = 515,196,643,984/330,698
  6. Step 6: Final answer
    x = 1,557,906.74

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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.