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Finding the Third Proportional to 178,276.50 and 395,919

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Solution

The third proportional to 178,276.50 and 395,919 is: 879,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,276.50 : 395,919 = 395,919 : x
  2. Step 2: Convert to fraction form
    178,276.50/395,919 = 395,919/x
  3. Step 3: Cross multiply
    178,276.50x = 395,919 × 395,919
  4. Step 4: Simplify right side
    178,276.50x = 156,751,854,561
  5. Step 5: Solve for x
    x = 156,751,854,561/178,276.50
  6. Step 6: Final answer
    x = 879,262.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.