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Finding the Third Proportional to 189,589.50 and 286,400.25

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Solution

The third proportional to 189,589.50 and 286,400.25 is: 432,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,589.50 : 286,400.25 = 286,400.25 : x
  2. Step 2: Convert to fraction form
    189,589.50/286,400.25 = 286,400.25/x
  3. Step 3: Cross multiply
    189,589.50x = 286,400.25 × 286,400.25
  4. Step 4: Simplify right side
    189,589.50x = 82,025,103,200.06
  5. Step 5: Solve for x
    x = 82,025,103,200.06/189,589.50
  6. Step 6: Final answer
    x = 432,645.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.