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Finding the Third Proportional to 311,839 and 660,486

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Solution

The third proportional to 311,839 and 660,486 is: 1,398,932.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,839 : 660,486 = 660,486 : x
  2. Step 2: Convert to fraction form
    311,839/660,486 = 660,486/x
  3. Step 3: Cross multiply
    311,839x = 660,486 × 660,486
  4. Step 4: Simplify right side
    311,839x = 436,241,756,196
  5. Step 5: Solve for x
    x = 436,241,756,196/311,839
  6. Step 6: Final answer
    x = 1,398,932.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.