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Finding the Third Proportional to 138,720 and 303,122

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Solution

The third proportional to 138,720 and 303,122 is: 662,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,720 : 303,122 = 303,122 : x
  2. Step 2: Convert to fraction form
    138,720/303,122 = 303,122/x
  3. Step 3: Cross multiply
    138,720x = 303,122 × 303,122
  4. Step 4: Simplify right side
    138,720x = 91,882,946,884
  5. Step 5: Solve for x
    x = 91,882,946,884/138,720
  6. Step 6: Final answer
    x = 662,362.65

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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.