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Finding the Third Proportional to 105,558.75 and 215,412.75

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Solution

The third proportional to 105,558.75 and 215,412.75 is: 439,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,558.75 : 215,412.75 = 215,412.75 : x
  2. Step 2: Convert to fraction form
    105,558.75/215,412.75 = 215,412.75/x
  3. Step 3: Cross multiply
    105,558.75x = 215,412.75 × 215,412.75
  4. Step 4: Simplify right side
    105,558.75x = 46,402,652,862.56
  5. Step 5: Solve for x
    x = 46,402,652,862.56/105,558.75
  6. Step 6: Final answer
    x = 439,590.78

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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.