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Finding the Third Proportional to 199,808 and 418,088

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Solution

The third proportional to 199,808 and 418,088 is: 874,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,808 : 418,088 = 418,088 : x
  2. Step 2: Convert to fraction form
    199,808/418,088 = 418,088/x
  3. Step 3: Cross multiply
    199,808x = 418,088 × 418,088
  4. Step 4: Simplify right side
    199,808x = 174,797,575,744
  5. Step 5: Solve for x
    x = 174,797,575,744/199,808
  6. Step 6: Final answer
    x = 874,827.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.