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Finding the Third Proportional to 199,853 and 428,195

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Solution

The third proportional to 199,853 and 428,195 is: 917,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,853 : 428,195 = 428,195 : x
  2. Step 2: Convert to fraction form
    199,853/428,195 = 428,195/x
  3. Step 3: Cross multiply
    199,853x = 428,195 × 428,195
  4. Step 4: Simplify right side
    199,853x = 183,350,958,025
  5. Step 5: Solve for x
    x = 183,350,958,025/199,853
  6. Step 6: Final answer
    x = 917,429.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.