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Finding the Third Proportional to 311,916 and 495,869

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Solution

The third proportional to 311,916 and 495,869 is: 788,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,916 : 495,869 = 495,869 : x
  2. Step 2: Convert to fraction form
    311,916/495,869 = 495,869/x
  3. Step 3: Cross multiply
    311,916x = 495,869 × 495,869
  4. Step 4: Simplify right side
    311,916x = 245,886,065,161
  5. Step 5: Solve for x
    x = 245,886,065,161/311,916
  6. Step 6: Final answer
    x = 788,308.60

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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.