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Finding the Third Proportional to 171,780 and 259,554

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Solution

The third proportional to 171,780 and 259,554 is: 392,177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,780 : 259,554 = 259,554 : x
  2. Step 2: Convert to fraction form
    171,780/259,554 = 259,554/x
  3. Step 3: Cross multiply
    171,780x = 259,554 × 259,554
  4. Step 4: Simplify right side
    171,780x = 67,368,278,916
  5. Step 5: Solve for x
    x = 67,368,278,916/171,780
  6. Step 6: Final answer
    x = 392,177.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.