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Finding the Third Proportional to 205,638 and 438,420

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Solution

The third proportional to 205,638 and 438,420 is: 934,710.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,638 : 438,420 = 438,420 : x
  2. Step 2: Convert to fraction form
    205,638/438,420 = 438,420/x
  3. Step 3: Cross multiply
    205,638x = 438,420 × 438,420
  4. Step 4: Simplify right side
    205,638x = 192,212,096,400
  5. Step 5: Solve for x
    x = 192,212,096,400/205,638
  6. Step 6: Final answer
    x = 934,710.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.