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Finding the Third Proportional to 172,102.50 and 377,448.75

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Solution

The third proportional to 172,102.50 and 377,448.75 is: 827,806.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,102.50 : 377,448.75 = 377,448.75 : x
  2. Step 2: Convert to fraction form
    172,102.50/377,448.75 = 377,448.75/x
  3. Step 3: Cross multiply
    172,102.50x = 377,448.75 × 377,448.75
  4. Step 4: Simplify right side
    172,102.50x = 142,467,558,876.56
  5. Step 5: Solve for x
    x = 142,467,558,876.56/172,102.50
  6. Step 6: Final answer
    x = 827,806.45

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