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Finding the Third Proportional to 311,914 and 495,866

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Solution

The third proportional to 311,914 and 495,866 is: 788,304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,914 : 495,866 = 495,866 : x
  2. Step 2: Convert to fraction form
    311,914/495,866 = 495,866/x
  3. Step 3: Cross multiply
    311,914x = 495,866 × 495,866
  4. Step 4: Simplify right side
    311,914x = 245,883,089,956
  5. Step 5: Solve for x
    x = 245,883,089,956/311,914
  6. Step 6: Final answer
    x = 788,304.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.