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Finding the Third Proportional to 199,828 and 429,302

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Solution

The third proportional to 199,828 and 429,302 is: 922,294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,828 : 429,302 = 429,302 : x
  2. Step 2: Convert to fraction form
    199,828/429,302 = 429,302/x
  3. Step 3: Cross multiply
    199,828x = 429,302 × 429,302
  4. Step 4: Simplify right side
    199,828x = 184,300,207,204
  5. Step 5: Solve for x
    x = 184,300,207,204/199,828
  6. Step 6: Final answer
    x = 922,294.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.