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Finding the Third Proportional to 205,600 and 438,343

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Solution

The third proportional to 205,600 and 438,343 is: 934,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,600 : 438,343 = 438,343 : x
  2. Step 2: Convert to fraction form
    205,600/438,343 = 438,343/x
  3. Step 3: Cross multiply
    205,600x = 438,343 × 438,343
  4. Step 4: Simplify right side
    205,600x = 192,144,585,649
  5. Step 5: Solve for x
    x = 192,144,585,649/205,600
  6. Step 6: Final answer
    x = 934,555.38

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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.