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Finding the Third Proportional to 359,324 and 782,396

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Solution

The third proportional to 359,324 and 782,396 is: 1,703,597.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,324 : 782,396 = 782,396 : x
  2. Step 2: Convert to fraction form
    359,324/782,396 = 782,396/x
  3. Step 3: Cross multiply
    359,324x = 782,396 × 782,396
  4. Step 4: Simplify right side
    359,324x = 612,143,500,816
  5. Step 5: Solve for x
    x = 612,143,500,816/359,324
  6. Step 6: Final answer
    x = 1,703,597.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.