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Finding the Third Proportional to 138,408.75 and 301,831.31

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Solution

The third proportional to 138,408.75 and 301,831.31 is: 658,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,408.75 : 301,831.31 = 301,831.31 : x
  2. Step 2: Convert to fraction form
    138,408.75/301,831.31 = 301,831.31/x
  3. Step 3: Cross multiply
    138,408.75x = 301,831.31 × 301,831.31
  4. Step 4: Simplify right side
    138,408.75x = 91,102,141,205.47
  5. Step 5: Solve for x
    x = 91,102,141,205.47/138,408.75
  6. Step 6: Final answer
    x = 658,210.85

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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.