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Finding the Third Proportional to 104,574.38 and 214,710.75

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Solution

The third proportional to 104,574.38 and 214,710.75 is: 440,841.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,574.38 : 214,710.75 = 214,710.75 : x
  2. Step 2: Convert to fraction form
    104,574.38/214,710.75 = 214,710.75/x
  3. Step 3: Cross multiply
    104,574.38x = 214,710.75 × 214,710.75
  4. Step 4: Simplify right side
    104,574.38x = 46,100,706,165.56
  5. Step 5: Solve for x
    x = 46,100,706,165.56/104,574.38
  6. Step 6: Final answer
    x = 440,841.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.