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Finding the Third Proportional to 78,273 and 171,769

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Solution

The third proportional to 78,273 and 171,769 is: 376,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,273 : 171,769 = 171,769 : x
  2. Step 2: Convert to fraction form
    78,273/171,769 = 171,769/x
  3. Step 3: Cross multiply
    78,273x = 171,769 × 171,769
  4. Step 4: Simplify right side
    78,273x = 29,504,589,361
  5. Step 5: Solve for x
    x = 29,504,589,361/78,273
  6. Step 6: Final answer
    x = 376,944.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.