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Finding the Third Proportional to 138,420 and 301,852

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Solution

The third proportional to 138,420 and 301,852 is: 658,247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,420 : 301,852 = 301,852 : x
  2. Step 2: Convert to fraction form
    138,420/301,852 = 301,852/x
  3. Step 3: Cross multiply
    138,420x = 301,852 × 301,852
  4. Step 4: Simplify right side
    138,420x = 91,114,629,904
  5. Step 5: Solve for x
    x = 91,114,629,904/138,420
  6. Step 6: Final answer
    x = 658,247.58

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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.