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Finding the Third Proportional to 311,912 and 495,863

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Solution

The third proportional to 311,912 and 495,863 is: 788,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,912 : 495,863 = 495,863 : x
  2. Step 2: Convert to fraction form
    311,912/495,863 = 495,863/x
  3. Step 3: Cross multiply
    311,912x = 495,863 × 495,863
  4. Step 4: Simplify right side
    311,912x = 245,880,114,769
  5. Step 5: Solve for x
    x = 245,880,114,769/311,912
  6. Step 6: Final answer
    x = 788,299.63

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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.