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Finding the Third Proportional to 218,105 and 319,957

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Solution

The third proportional to 218,105 and 319,957 is: 469,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,105 : 319,957 = 319,957 : x
  2. Step 2: Convert to fraction form
    218,105/319,957 = 319,957/x
  3. Step 3: Cross multiply
    218,105x = 319,957 × 319,957
  4. Step 4: Simplify right side
    218,105x = 102,372,481,849
  5. Step 5: Solve for x
    x = 102,372,481,849/218,105
  6. Step 6: Final answer
    x = 469,372.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.