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Finding the Third Proportional to 138,032 and 303,198.50

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Solution

The third proportional to 138,032 and 303,198.50 is: 666,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,032 : 303,198.50 = 303,198.50 : x
  2. Step 2: Convert to fraction form
    138,032/303,198.50 = 303,198.50/x
  3. Step 3: Cross multiply
    138,032x = 303,198.50 × 303,198.50
  4. Step 4: Simplify right side
    138,032x = 91,929,330,402.25
  5. Step 5: Solve for x
    x = 91,929,330,402.25/138,032
  6. Step 6: Final answer
    x = 666,000.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.