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Finding the Third Proportional to 206,955 and 311,643

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Solution

The third proportional to 206,955 and 311,643 is: 469,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,955 : 311,643 = 311,643 : x
  2. Step 2: Convert to fraction form
    206,955/311,643 = 311,643/x
  3. Step 3: Cross multiply
    206,955x = 311,643 × 311,643
  4. Step 4: Simplify right side
    206,955x = 97,121,359,449
  5. Step 5: Solve for x
    x = 97,121,359,449/206,955
  6. Step 6: Final answer
    x = 469,287.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.