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Finding the Third Proportional to 311,938 and 465,827

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Solution

The third proportional to 311,938 and 465,827 is: 695,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,938 : 465,827 = 465,827 : x
  2. Step 2: Convert to fraction form
    311,938/465,827 = 465,827/x
  3. Step 3: Cross multiply
    311,938x = 465,827 × 465,827
  4. Step 4: Simplify right side
    311,938x = 216,994,793,929
  5. Step 5: Solve for x
    x = 216,994,793,929/311,938
  6. Step 6: Final answer
    x = 695,634.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.