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Finding the Third Proportional to 285,172 and 618,912

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Solution

The third proportional to 285,172 and 618,912 is: 1,343,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,172 : 618,912 = 618,912 : x
  2. Step 2: Convert to fraction form
    285,172/618,912 = 618,912/x
  3. Step 3: Cross multiply
    285,172x = 618,912 × 618,912
  4. Step 4: Simplify right side
    285,172x = 383,052,063,744
  5. Step 5: Solve for x
    x = 383,052,063,744/285,172
  6. Step 6: Final answer
    x = 1,343,231.68

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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.