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Finding the Third Proportional to 202,383 and 438,297

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Solution

The third proportional to 202,383 and 438,297 is: 949,211.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,383 : 438,297 = 438,297 : x
  2. Step 2: Convert to fraction form
    202,383/438,297 = 438,297/x
  3. Step 3: Cross multiply
    202,383x = 438,297 × 438,297
  4. Step 4: Simplify right side
    202,383x = 192,104,260,209
  5. Step 5: Solve for x
    x = 192,104,260,209/202,383
  6. Step 6: Final answer
    x = 949,211.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.