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Finding the Third Proportional to 129,325.50 and 199,523.81

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Solution

The third proportional to 129,325.50 and 199,523.81 is: 307,826.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,325.50 : 199,523.81 = 199,523.81 : x
  2. Step 2: Convert to fraction form
    129,325.50/199,523.81 = 199,523.81/x
  3. Step 3: Cross multiply
    129,325.50x = 199,523.81 × 199,523.81
  4. Step 4: Simplify right side
    129,325.50x = 39,809,751,754.54
  5. Step 5: Solve for x
    x = 39,809,751,754.54/129,325.50
  6. Step 6: Final answer
    x = 307,826.00

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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.