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Finding the Third Proportional to 330,822 and 717,655

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Solution

The third proportional to 330,822 and 717,655 is: 1,556,815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,822 : 717,655 = 717,655 : x
  2. Step 2: Convert to fraction form
    330,822/717,655 = 717,655/x
  3. Step 3: Cross multiply
    330,822x = 717,655 × 717,655
  4. Step 4: Simplify right side
    330,822x = 515,028,699,025
  5. Step 5: Solve for x
    x = 515,028,699,025/330,822
  6. Step 6: Final answer
    x = 1,556,815.14

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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.