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Finding the Third Proportional to 172,804.32 and 378,826.56

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Solution

The third proportional to 172,804.32 and 378,826.56 is: 830,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,804.32 : 378,826.56 = 378,826.56 : x
  2. Step 2: Convert to fraction form
    172,804.32/378,826.56 = 378,826.56/x
  3. Step 3: Cross multiply
    172,804.32x = 378,826.56 × 378,826.56
  4. Step 4: Simplify right side
    172,804.32x = 143,509,561,495.98
  5. Step 5: Solve for x
    x = 143,509,561,495.98/172,804.32
  6. Step 6: Final answer
    x = 830,474.37

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Why These Related Problems?

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