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Finding the Third Proportional to 189,216 and 263,088

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Solution

The third proportional to 189,216 and 263,088 is: 365,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,216 : 263,088 = 263,088 : x
  2. Step 2: Convert to fraction form
    189,216/263,088 = 263,088/x
  3. Step 3: Cross multiply
    189,216x = 263,088 × 263,088
  4. Step 4: Simplify right side
    189,216x = 69,215,295,744
  5. Step 5: Solve for x
    x = 69,215,295,744/189,216
  6. Step 6: Final answer
    x = 365,800.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.