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Finding the Third Proportional to 118,677 and 178,039

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Solution

The third proportional to 118,677 and 178,039 is: 267,093.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,677 : 178,039 = 178,039 : x
  2. Step 2: Convert to fraction form
    118,677/178,039 = 178,039/x
  3. Step 3: Cross multiply
    118,677x = 178,039 × 178,039
  4. Step 4: Simplify right side
    118,677x = 31,697,885,521
  5. Step 5: Solve for x
    x = 31,697,885,521/118,677
  6. Step 6: Final answer
    x = 267,093.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.