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Finding the Third Proportional to 140,359.75 and 215,745.88

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Solution

The third proportional to 140,359.75 and 215,745.88 is: 331,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,359.75 : 215,745.88 = 215,745.88 : x
  2. Step 2: Convert to fraction form
    140,359.75/215,745.88 = 215,745.88/x
  3. Step 3: Cross multiply
    140,359.75x = 215,745.88 × 215,745.88
  4. Step 4: Simplify right side
    140,359.75x = 46,546,282,579.52
  5. Step 5: Solve for x
    x = 46,546,282,579.52/140,359.75
  6. Step 6: Final answer
    x = 331,621.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.