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Finding the Third Proportional to 172,780 and 257,837

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Solution

The third proportional to 172,780 and 257,837 is: 384,766.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,780 : 257,837 = 257,837 : x
  2. Step 2: Convert to fraction form
    172,780/257,837 = 257,837/x
  3. Step 3: Cross multiply
    172,780x = 257,837 × 257,837
  4. Step 4: Simplify right side
    172,780x = 66,479,918,569
  5. Step 5: Solve for x
    x = 66,479,918,569/172,780
  6. Step 6: Final answer
    x = 384,766.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.