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Finding the Third Proportional to 178,121 and 255,148

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Solution

The third proportional to 178,121 and 255,148 is: 365,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,121 : 255,148 = 255,148 : x
  2. Step 2: Convert to fraction form
    178,121/255,148 = 255,148/x
  3. Step 3: Cross multiply
    178,121x = 255,148 × 255,148
  4. Step 4: Simplify right side
    178,121x = 65,100,501,904
  5. Step 5: Solve for x
    x = 65,100,501,904/178,121
  6. Step 6: Final answer
    x = 365,484.71

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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.