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Finding the Third Proportional to 135,043.88 and 290,103.75

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Solution

The third proportional to 135,043.88 and 290,103.75 is: 623,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,043.88 : 290,103.75 = 290,103.75 : x
  2. Step 2: Convert to fraction form
    135,043.88/290,103.75 = 290,103.75/x
  3. Step 3: Cross multiply
    135,043.88x = 290,103.75 × 290,103.75
  4. Step 4: Simplify right side
    135,043.88x = 84,160,185,764.06
  5. Step 5: Solve for x
    x = 84,160,185,764.06/135,043.88
  6. Step 6: Final answer
    x = 623,206.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.