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Finding the Third Proportional to 199,743 and 438,282

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Solution

The third proportional to 199,743 and 438,282 is: 961,691.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,743 : 438,282 = 438,282 : x
  2. Step 2: Convert to fraction form
    199,743/438,282 = 438,282/x
  3. Step 3: Cross multiply
    199,743x = 438,282 × 438,282
  4. Step 4: Simplify right side
    199,743x = 192,091,111,524
  5. Step 5: Solve for x
    x = 192,091,111,524/199,743
  6. Step 6: Final answer
    x = 961,691.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.