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Finding the Third Proportional to 121,674 and 178,307

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Solution

The third proportional to 121,674 and 178,307 is: 261,299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,674 : 178,307 = 178,307 : x
  2. Step 2: Convert to fraction form
    121,674/178,307 = 178,307/x
  3. Step 3: Cross multiply
    121,674x = 178,307 × 178,307
  4. Step 4: Simplify right side
    121,674x = 31,793,386,249
  5. Step 5: Solve for x
    x = 31,793,386,249/121,674
  6. Step 6: Final answer
    x = 261,299.75

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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.