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Finding the Third Proportional to 199,828 and 418,130

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Solution

The third proportional to 199,828 and 418,130 is: 874,915.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,828 : 418,130 = 418,130 : x
  2. Step 2: Convert to fraction form
    199,828/418,130 = 418,130/x
  3. Step 3: Cross multiply
    199,828x = 418,130 × 418,130
  4. Step 4: Simplify right side
    199,828x = 174,832,696,900
  5. Step 5: Solve for x
    x = 174,832,696,900/199,828
  6. Step 6: Final answer
    x = 874,915.91

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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.