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Finding the Third Proportional to 285,867 and 609,696

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Solution

The third proportional to 285,867 and 609,696 is: 1,300,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,867 : 609,696 = 609,696 : x
  2. Step 2: Convert to fraction form
    285,867/609,696 = 609,696/x
  3. Step 3: Cross multiply
    285,867x = 609,696 × 609,696
  4. Step 4: Simplify right side
    285,867x = 371,729,212,416
  5. Step 5: Solve for x
    x = 371,729,212,416/285,867
  6. Step 6: Final answer
    x = 1,300,357.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.