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Finding the Third Proportional to 218,124 and 319,994

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Solution

The third proportional to 218,124 and 319,994 is: 469,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,124 : 319,994 = 319,994 : x
  2. Step 2: Convert to fraction form
    218,124/319,994 = 319,994/x
  3. Step 3: Cross multiply
    218,124x = 319,994 × 319,994
  4. Step 4: Simplify right side
    218,124x = 102,396,160,036
  5. Step 5: Solve for x
    x = 102,396,160,036/218,124
  6. Step 6: Final answer
    x = 469,440.14

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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.