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Finding the Third Proportional to 172,953.50 and 220,994.75

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Solution

The third proportional to 172,953.50 and 220,994.75 is: 282,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,953.50 : 220,994.75 = 220,994.75 : x
  2. Step 2: Convert to fraction form
    172,953.50/220,994.75 = 220,994.75/x
  3. Step 3: Cross multiply
    172,953.50x = 220,994.75 × 220,994.75
  4. Step 4: Simplify right side
    172,953.50x = 48,838,679,527.56
  5. Step 5: Solve for x
    x = 48,838,679,527.56/172,953.50
  6. Step 6: Final answer
    x = 282,380.41

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.