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Finding the Third Proportional to 202,125 and 440,109

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Solution

The third proportional to 202,125 and 440,109 is: 958,297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,125 : 440,109 = 440,109 : x
  2. Step 2: Convert to fraction form
    202,125/440,109 = 440,109/x
  3. Step 3: Cross multiply
    202,125x = 440,109 × 440,109
  4. Step 4: Simplify right side
    202,125x = 193,695,931,881
  5. Step 5: Solve for x
    x = 193,695,931,881/202,125
  6. Step 6: Final answer
    x = 958,297.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.