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Finding the Third Proportional to 120,831.75 and 158,694.19

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Solution

The third proportional to 120,831.75 and 158,694.19 is: 208,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,831.75 : 158,694.19 = 158,694.19 : x
  2. Step 2: Convert to fraction form
    120,831.75/158,694.19 = 158,694.19/x
  3. Step 3: Cross multiply
    120,831.75x = 158,694.19 × 158,694.19
  4. Step 4: Simplify right side
    120,831.75x = 25,183,845,146.29
  5. Step 5: Solve for x
    x = 25,183,845,146.29/120,831.75
  6. Step 6: Final answer
    x = 208,420.76

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.