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Finding the Third Proportional to 189,958.88 and 288,855

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Solution

The third proportional to 189,958.88 and 288,855 is: 439,238.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,958.88 : 288,855 = 288,855 : x
  2. Step 2: Convert to fraction form
    189,958.88/288,855 = 288,855/x
  3. Step 3: Cross multiply
    189,958.88x = 288,855 × 288,855
  4. Step 4: Simplify right side
    189,958.88x = 83,437,211,025
  5. Step 5: Solve for x
    x = 83,437,211,025/189,958.88
  6. Step 6: Final answer
    x = 439,238.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.