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Finding the Third Proportional to 161,858 and 355,837

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Solution

The third proportional to 161,858 and 355,837 is: 782,290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,858 : 355,837 = 355,837 : x
  2. Step 2: Convert to fraction form
    161,858/355,837 = 355,837/x
  3. Step 3: Cross multiply
    161,858x = 355,837 × 355,837
  4. Step 4: Simplify right side
    161,858x = 126,619,970,569
  5. Step 5: Solve for x
    x = 126,619,970,569/161,858
  6. Step 6: Final answer
    x = 782,290.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.