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Finding the Third Proportional to 138,412 and 301,838

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Solution

The third proportional to 138,412 and 301,838 is: 658,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,412 : 301,838 = 301,838 : x
  2. Step 2: Convert to fraction form
    138,412/301,838 = 301,838/x
  3. Step 3: Cross multiply
    138,412x = 301,838 × 301,838
  4. Step 4: Simplify right side
    138,412x = 91,106,178,244
  5. Step 5: Solve for x
    x = 91,106,178,244/138,412
  6. Step 6: Final answer
    x = 658,224.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.