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Finding the Third Proportional to 311,348 and 491,966

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Solution

The third proportional to 311,348 and 491,966 is: 777,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,348 : 491,966 = 491,966 : x
  2. Step 2: Convert to fraction form
    311,348/491,966 = 491,966/x
  3. Step 3: Cross multiply
    311,348x = 491,966 × 491,966
  4. Step 4: Simplify right side
    311,348x = 242,030,545,156
  5. Step 5: Solve for x
    x = 242,030,545,156/311,348
  6. Step 6: Final answer
    x = 777,363.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.