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Finding the Third Proportional to 201,878 and 438,099

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Solution

The third proportional to 201,878 and 438,099 is: 950,726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,878 : 438,099 = 438,099 : x
  2. Step 2: Convert to fraction form
    201,878/438,099 = 438,099/x
  3. Step 3: Cross multiply
    201,878x = 438,099 × 438,099
  4. Step 4: Simplify right side
    201,878x = 191,930,733,801
  5. Step 5: Solve for x
    x = 191,930,733,801/201,878
  6. Step 6: Final answer
    x = 950,726.35

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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.