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Finding the Third Proportional to 311,918 and 495,872

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Solution

The third proportional to 311,918 and 495,872 is: 788,313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,918 : 495,872 = 495,872 : x
  2. Step 2: Convert to fraction form
    311,918/495,872 = 495,872/x
  3. Step 3: Cross multiply
    311,918x = 495,872 × 495,872
  4. Step 4: Simplify right side
    311,918x = 245,889,040,384
  5. Step 5: Solve for x
    x = 245,889,040,384/311,918
  6. Step 6: Final answer
    x = 788,313.08

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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.