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Finding the Third Proportional to 218,482 and 299,006

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Solution

The third proportional to 218,482 and 299,006 is: 409,208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,482 : 299,006 = 299,006 : x
  2. Step 2: Convert to fraction form
    218,482/299,006 = 299,006/x
  3. Step 3: Cross multiply
    218,482x = 299,006 × 299,006
  4. Step 4: Simplify right side
    218,482x = 89,404,588,036
  5. Step 5: Solve for x
    x = 89,404,588,036/218,482
  6. Step 6: Final answer
    x = 409,208.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.