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Finding the Third Proportional to 105,480.56 and 214,877.81

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Solution

The third proportional to 105,480.56 and 214,877.81 is: 437,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,480.56 : 214,877.81 = 214,877.81 : x
  2. Step 2: Convert to fraction form
    105,480.56/214,877.81 = 214,877.81/x
  3. Step 3: Cross multiply
    105,480.56x = 214,877.81 × 214,877.81
  4. Step 4: Simplify right side
    105,480.56x = 46,172,474,304.79
  5. Step 5: Solve for x
    x = 46,172,474,304.79/105,480.56
  6. Step 6: Final answer
    x = 437,734.43

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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.