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Finding the Third Proportional to 218,960 and 330,006

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Solution

The third proportional to 218,960 and 330,006 is: 497,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,960 : 330,006 = 330,006 : x
  2. Step 2: Convert to fraction form
    218,960/330,006 = 330,006/x
  3. Step 3: Cross multiply
    218,960x = 330,006 × 330,006
  4. Step 4: Simplify right side
    218,960x = 108,903,960,036
  5. Step 5: Solve for x
    x = 108,903,960,036/218,960
  6. Step 6: Final answer
    x = 497,369.20

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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.