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Finding the Third Proportional to 199,850 and 428,189

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Solution

The third proportional to 199,850 and 428,189 is: 917,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,850 : 428,189 = 428,189 : x
  2. Step 2: Convert to fraction form
    199,850/428,189 = 428,189/x
  3. Step 3: Cross multiply
    199,850x = 428,189 × 428,189
  4. Step 4: Simplify right side
    199,850x = 183,345,819,721
  5. Step 5: Solve for x
    x = 183,345,819,721/199,850
  6. Step 6: Final answer
    x = 917,417.16

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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.