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Finding the Third Proportional to 138,436 and 303,080

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Solution

The third proportional to 138,436 and 303,080 is: 663,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,436 : 303,080 = 303,080 : x
  2. Step 2: Convert to fraction form
    138,436/303,080 = 303,080/x
  3. Step 3: Cross multiply
    138,436x = 303,080 × 303,080
  4. Step 4: Simplify right side
    138,436x = 91,857,486,400
  5. Step 5: Solve for x
    x = 91,857,486,400/138,436
  6. Step 6: Final answer
    x = 663,537.57

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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.