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Finding the Third Proportional to 77,265 and 178,869

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Solution

The third proportional to 77,265 and 178,869 is: 414,082.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,265 : 178,869 = 178,869 : x
  2. Step 2: Convert to fraction form
    77,265/178,869 = 178,869/x
  3. Step 3: Cross multiply
    77,265x = 178,869 × 178,869
  4. Step 4: Simplify right side
    77,265x = 31,994,119,161
  5. Step 5: Solve for x
    x = 31,994,119,161/77,265
  6. Step 6: Final answer
    x = 414,082.95

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.