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Finding the Third Proportional to 81,879.94 and 176,907.47

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Solution

The third proportional to 81,879.94 and 176,907.47 is: 382,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,879.94 : 176,907.47 = 176,907.47 : x
  2. Step 2: Convert to fraction form
    81,879.94/176,907.47 = 176,907.47/x
  3. Step 3: Cross multiply
    81,879.94x = 176,907.47 × 176,907.47
  4. Step 4: Simplify right side
    81,879.94x = 31,296,252,499.53
  5. Step 5: Solve for x
    x = 31,296,252,499.53/81,879.94
  6. Step 6: Final answer
    x = 382,221.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.