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Finding the Third Proportional to 138,243 and 303,270

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Solution

The third proportional to 138,243 and 303,270 is: 665,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,243 : 303,270 = 303,270 : x
  2. Step 2: Convert to fraction form
    138,243/303,270 = 303,270/x
  3. Step 3: Cross multiply
    138,243x = 303,270 × 303,270
  4. Step 4: Simplify right side
    138,243x = 91,972,692,900
  5. Step 5: Solve for x
    x = 91,972,692,900/138,243
  6. Step 6: Final answer
    x = 665,297.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.