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Finding the Third Proportional to 178,769 and 263,982

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Solution

The third proportional to 178,769 and 263,982 is: 389,813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,769 : 263,982 = 263,982 : x
  2. Step 2: Convert to fraction form
    178,769/263,982 = 263,982/x
  3. Step 3: Cross multiply
    178,769x = 263,982 × 263,982
  4. Step 4: Simplify right side
    178,769x = 69,686,496,324
  5. Step 5: Solve for x
    x = 69,686,496,324/178,769
  6. Step 6: Final answer
    x = 389,813.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.