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Finding the Third Proportional to 201,115.50 and 320,127

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Solution

The third proportional to 201,115.50 and 320,127 is: 509,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,115.50 : 320,127 = 320,127 : x
  2. Step 2: Convert to fraction form
    201,115.50/320,127 = 320,127/x
  3. Step 3: Cross multiply
    201,115.50x = 320,127 × 320,127
  4. Step 4: Simplify right side
    201,115.50x = 102,481,296,129
  5. Step 5: Solve for x
    x = 102,481,296,129/201,115.50
  6. Step 6: Final answer
    x = 509,564.39

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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.