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Finding the Third Proportional to 178,117 and 255,142

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Solution

The third proportional to 178,117 and 255,142 is: 365,475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,117 : 255,142 = 255,142 : x
  2. Step 2: Convert to fraction form
    178,117/255,142 = 255,142/x
  3. Step 3: Cross multiply
    178,117x = 255,142 × 255,142
  4. Step 4: Simplify right side
    178,117x = 65,097,440,164
  5. Step 5: Solve for x
    x = 65,097,440,164/178,117
  6. Step 6: Final answer
    x = 365,475.73

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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.