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Finding the Third Proportional to 311,930 and 495,891

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Solution

The third proportional to 311,930 and 495,891 is: 788,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,930 : 495,891 = 495,891 : x
  2. Step 2: Convert to fraction form
    311,930/495,891 = 495,891/x
  3. Step 3: Cross multiply
    311,930x = 495,891 × 495,891
  4. Step 4: Simplify right side
    311,930x = 245,907,883,881
  5. Step 5: Solve for x
    x = 245,907,883,881/311,930
  6. Step 6: Final answer
    x = 788,343.17

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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.