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Finding the Third Proportional to 189,718 and 439,221

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Solution

The third proportional to 189,718 and 439,221 is: 1,016,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,718 : 439,221 = 439,221 : x
  2. Step 2: Convert to fraction form
    189,718/439,221 = 439,221/x
  3. Step 3: Cross multiply
    189,718x = 439,221 × 439,221
  4. Step 4: Simplify right side
    189,718x = 192,915,086,841
  5. Step 5: Solve for x
    x = 192,915,086,841/189,718
  6. Step 6: Final answer
    x = 1,016,851.78

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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.