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Finding the Third Proportional to 170,997.75 and 255,539.50

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Solution

The third proportional to 170,997.75 and 255,539.50 is: 381,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,997.75 : 255,539.50 = 255,539.50 : x
  2. Step 2: Convert to fraction form
    170,997.75/255,539.50 = 255,539.50/x
  3. Step 3: Cross multiply
    170,997.75x = 255,539.50 × 255,539.50
  4. Step 4: Simplify right side
    170,997.75x = 65,300,436,060.25
  5. Step 5: Solve for x
    x = 65,300,436,060.25/170,997.75
  6. Step 6: Final answer
    x = 381,878.92

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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.