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Finding the Third Proportional to 118,292 and 178,670

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Solution

The third proportional to 118,292 and 178,670 is: 269,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,292 : 178,670 = 178,670 : x
  2. Step 2: Convert to fraction form
    118,292/178,670 = 178,670/x
  3. Step 3: Cross multiply
    118,292x = 178,670 × 178,670
  4. Step 4: Simplify right side
    118,292x = 31,922,968,900
  5. Step 5: Solve for x
    x = 31,922,968,900/118,292
  6. Step 6: Final answer
    x = 269,865.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.