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Finding the Third Proportional to 75,259.13 and 103,200.75

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Solution

The third proportional to 75,259.13 and 103,200.75 is: 141,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,259.13 : 103,200.75 = 103,200.75 : x
  2. Step 2: Convert to fraction form
    75,259.13/103,200.75 = 103,200.75/x
  3. Step 3: Cross multiply
    75,259.13x = 103,200.75 × 103,200.75
  4. Step 4: Simplify right side
    75,259.13x = 10,650,394,800.56
  5. Step 5: Solve for x
    x = 10,650,394,800.56/75,259.13
  6. Step 6: Final answer
    x = 141,516.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.