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Finding the Third Proportional to 118,284 and 178,654

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Solution

The third proportional to 118,284 and 178,654 is: 269,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,284 : 178,654 = 178,654 : x
  2. Step 2: Convert to fraction form
    118,284/178,654 = 178,654/x
  3. Step 3: Cross multiply
    118,284x = 178,654 × 178,654
  4. Step 4: Simplify right side
    118,284x = 31,917,251,716
  5. Step 5: Solve for x
    x = 31,917,251,716/118,284
  6. Step 6: Final answer
    x = 269,835.75

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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.