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Finding the Third Proportional to 330,824 and 717,659

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Solution

The third proportional to 330,824 and 717,659 is: 1,556,823.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,824 : 717,659 = 717,659 : x
  2. Step 2: Convert to fraction form
    330,824/717,659 = 717,659/x
  3. Step 3: Cross multiply
    330,824x = 717,659 × 717,659
  4. Step 4: Simplify right side
    330,824x = 515,034,440,281
  5. Step 5: Solve for x
    x = 515,034,440,281/330,824
  6. Step 6: Final answer
    x = 1,556,823.09

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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.