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Finding the Third Proportional to 359,558 and 782,512

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Solution

The third proportional to 359,558 and 782,512 is: 1,702,993.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,558 : 782,512 = 782,512 : x
  2. Step 2: Convert to fraction form
    359,558/782,512 = 782,512/x
  3. Step 3: Cross multiply
    359,558x = 782,512 × 782,512
  4. Step 4: Simplify right side
    359,558x = 612,325,030,144
  5. Step 5: Solve for x
    x = 612,325,030,144/359,558
  6. Step 6: Final answer
    x = 1,702,993.76

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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.