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Finding the Third Proportional to 189,716 and 439,216

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Solution

The third proportional to 189,716 and 439,216 is: 1,016,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,716 : 439,216 = 439,216 : x
  2. Step 2: Convert to fraction form
    189,716/439,216 = 439,216/x
  3. Step 3: Cross multiply
    189,716x = 439,216 × 439,216
  4. Step 4: Simplify right side
    189,716x = 192,910,694,656
  5. Step 5: Solve for x
    x = 192,910,694,656/189,716
  6. Step 6: Final answer
    x = 1,016,839.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.