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Finding the Third Proportional to 138,540 and 303,000

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Solution

The third proportional to 138,540 and 303,000 is: 662,689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,540 : 303,000 = 303,000 : x
  2. Step 2: Convert to fraction form
    138,540/303,000 = 303,000/x
  3. Step 3: Cross multiply
    138,540x = 303,000 × 303,000
  4. Step 4: Simplify right side
    138,540x = 91,809,000,000
  5. Step 5: Solve for x
    x = 91,809,000,000/138,540
  6. Step 6: Final answer
    x = 662,689.48

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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.