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Finding the Third Proportional to 178,425 and 260,939

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Solution

The third proportional to 178,425 and 260,939 is: 381,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,425 : 260,939 = 260,939 : x
  2. Step 2: Convert to fraction form
    178,425/260,939 = 260,939/x
  3. Step 3: Cross multiply
    178,425x = 260,939 × 260,939
  4. Step 4: Simplify right side
    178,425x = 68,089,161,721
  5. Step 5: Solve for x
    x = 68,089,161,721/178,425
  6. Step 6: Final answer
    x = 381,612.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.