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Finding the Third Proportional to 138,852 and 305,010

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Solution

The third proportional to 138,852 and 305,010 is: 670,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,852 : 305,010 = 305,010 : x
  2. Step 2: Convert to fraction form
    138,852/305,010 = 305,010/x
  3. Step 3: Cross multiply
    138,852x = 305,010 × 305,010
  4. Step 4: Simplify right side
    138,852x = 93,031,100,100
  5. Step 5: Solve for x
    x = 93,031,100,100/138,852
  6. Step 6: Final answer
    x = 670,001.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.