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Finding the Third Proportional to 178,118 and 255,144

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Solution

The third proportional to 178,118 and 255,144 is: 365,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,118 : 255,144 = 255,144 : x
  2. Step 2: Convert to fraction form
    178,118/255,144 = 255,144/x
  3. Step 3: Cross multiply
    178,118x = 255,144 × 255,144
  4. Step 4: Simplify right side
    178,118x = 65,098,460,736
  5. Step 5: Solve for x
    x = 65,098,460,736/178,118
  6. Step 6: Final answer
    x = 365,479.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.