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Finding the Third Proportional to 138,763 and 303,208

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Solution

The third proportional to 138,763 and 303,208 is: 662,533.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,763 : 303,208 = 303,208 : x
  2. Step 2: Convert to fraction form
    138,763/303,208 = 303,208/x
  3. Step 3: Cross multiply
    138,763x = 303,208 × 303,208
  4. Step 4: Simplify right side
    138,763x = 91,935,091,264
  5. Step 5: Solve for x
    x = 91,935,091,264/138,763
  6. Step 6: Final answer
    x = 662,533.18

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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.