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Finding the Third Proportional to 121,682 and 178,319

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Solution

The third proportional to 121,682 and 178,319 is: 261,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,682 : 178,319 = 178,319 : x
  2. Step 2: Convert to fraction form
    121,682/178,319 = 178,319/x
  3. Step 3: Cross multiply
    121,682x = 178,319 × 178,319
  4. Step 4: Simplify right side
    121,682x = 31,797,665,761
  5. Step 5: Solve for x
    x = 31,797,665,761/121,682
  6. Step 6: Final answer
    x = 261,317.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.