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Finding the Third Proportional to 218,958 and 330,003

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Solution

The third proportional to 218,958 and 330,003 is: 497,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,958 : 330,003 = 330,003 : x
  2. Step 2: Convert to fraction form
    218,958/330,003 = 330,003/x
  3. Step 3: Cross multiply
    218,958x = 330,003 × 330,003
  4. Step 4: Simplify right side
    218,958x = 108,901,980,009
  5. Step 5: Solve for x
    x = 108,901,980,009/218,958
  6. Step 6: Final answer
    x = 497,364.70

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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.