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Finding the Third Proportional to 105,481 and 214,878.75

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Solution

The third proportional to 105,481 and 214,878.75 is: 437,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,481 : 214,878.75 = 214,878.75 : x
  2. Step 2: Convert to fraction form
    105,481/214,878.75 = 214,878.75/x
  3. Step 3: Cross multiply
    105,481x = 214,878.75 × 214,878.75
  4. Step 4: Simplify right side
    105,481x = 46,172,877,201.56
  5. Step 5: Solve for x
    x = 46,172,877,201.56/105,481
  6. Step 6: Final answer
    x = 437,736.44

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.