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Finding the Third Proportional to 130,039 and 204,043.50

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Solution

The third proportional to 130,039 and 204,043.50 is: 320,163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,039 : 204,043.50 = 204,043.50 : x
  2. Step 2: Convert to fraction form
    130,039/204,043.50 = 204,043.50/x
  3. Step 3: Cross multiply
    130,039x = 204,043.50 × 204,043.50
  4. Step 4: Simplify right side
    130,039x = 41,633,749,892.25
  5. Step 5: Solve for x
    x = 41,633,749,892.25/130,039
  6. Step 6: Final answer
    x = 320,163.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.