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Finding the Third Proportional to 138,415.50 and 301,843.13

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Solution

The third proportional to 138,415.50 and 301,843.13 is: 658,230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,415.50 : 301,843.13 = 301,843.13 : x
  2. Step 2: Convert to fraction form
    138,415.50/301,843.13 = 301,843.13/x
  3. Step 3: Cross multiply
    138,415.50x = 301,843.13 × 301,843.13
  4. Step 4: Simplify right side
    138,415.50x = 91,109,272,109.77
  5. Step 5: Solve for x
    x = 91,109,272,109.77/138,415.50
  6. Step 6: Final answer
    x = 658,230.27

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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.