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Finding the Third Proportional to 138,530 and 299,210

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Solution

The third proportional to 138,530 and 299,210 is: 646,261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,530 : 299,210 = 299,210 : x
  2. Step 2: Convert to fraction form
    138,530/299,210 = 299,210/x
  3. Step 3: Cross multiply
    138,530x = 299,210 × 299,210
  4. Step 4: Simplify right side
    138,530x = 89,526,624,100
  5. Step 5: Solve for x
    x = 89,526,624,100/138,530
  6. Step 6: Final answer
    x = 646,261.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.