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Finding the Third Proportional to 140,970.75 and 215,921.25

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Solution

The third proportional to 140,970.75 and 215,921.25 is: 330,720.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,970.75 : 215,921.25 = 215,921.25 : x
  2. Step 2: Convert to fraction form
    140,970.75/215,921.25 = 215,921.25/x
  3. Step 3: Cross multiply
    140,970.75x = 215,921.25 × 215,921.25
  4. Step 4: Simplify right side
    140,970.75x = 46,621,986,201.56
  5. Step 5: Solve for x
    x = 46,621,986,201.56/140,970.75
  6. Step 6: Final answer
    x = 330,720.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.