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Finding the Third Proportional to 201,115 and 320,125

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Solution

The third proportional to 201,115 and 320,125 is: 509,559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,115 : 320,125 = 320,125 : x
  2. Step 2: Convert to fraction form
    201,115/320,125 = 320,125/x
  3. Step 3: Cross multiply
    201,115x = 320,125 × 320,125
  4. Step 4: Simplify right side
    201,115x = 102,480,015,625
  5. Step 5: Solve for x
    x = 102,480,015,625/201,115
  6. Step 6: Final answer
    x = 509,559.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.