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Finding the Third Proportional to 138,530 and 302,980

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Solution

The third proportional to 138,530 and 302,980 is: 662,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,530 : 302,980 = 302,980 : x
  2. Step 2: Convert to fraction form
    138,530/302,980 = 302,980/x
  3. Step 3: Cross multiply
    138,530x = 302,980 × 302,980
  4. Step 4: Simplify right side
    138,530x = 91,796,880,400
  5. Step 5: Solve for x
    x = 91,796,880,400/138,530
  6. Step 6: Final answer
    x = 662,649.83

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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.