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Finding the Third Proportional to 178,116 and 255,141

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Solution

The third proportional to 178,116 and 255,141 is: 365,474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,116 : 255,141 = 255,141 : x
  2. Step 2: Convert to fraction form
    178,116/255,141 = 255,141/x
  3. Step 3: Cross multiply
    178,116x = 255,141 × 255,141
  4. Step 4: Simplify right side
    178,116x = 65,096,929,881
  5. Step 5: Solve for x
    x = 65,096,929,881/178,116
  6. Step 6: Final answer
    x = 365,474.91

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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.