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Finding the Third Proportional to 199,734 and 438,267

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Solution

The third proportional to 199,734 and 438,267 is: 961,668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,734 : 438,267 = 438,267 : x
  2. Step 2: Convert to fraction form
    199,734/438,267 = 438,267/x
  3. Step 3: Cross multiply
    199,734x = 438,267 × 438,267
  4. Step 4: Simplify right side
    199,734x = 192,077,963,289
  5. Step 5: Solve for x
    x = 192,077,963,289/199,734
  6. Step 6: Final answer
    x = 961,668.84

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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.