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Finding the Third Proportional to 328,036 and 717,344

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Solution

The third proportional to 328,036 and 717,344 is: 1,568,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,036 : 717,344 = 717,344 : x
  2. Step 2: Convert to fraction form
    328,036/717,344 = 717,344/x
  3. Step 3: Cross multiply
    328,036x = 717,344 × 717,344
  4. Step 4: Simplify right side
    328,036x = 514,582,414,336
  5. Step 5: Solve for x
    x = 514,582,414,336/328,036
  6. Step 6: Final answer
    x = 1,568,676.65

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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.