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Finding the Third Proportional to 120,830.06 and 177,544.41

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Solution

The third proportional to 120,830.06 and 177,544.41 is: 260,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,830.06 : 177,544.41 = 177,544.41 : x
  2. Step 2: Convert to fraction form
    120,830.06/177,544.41 = 177,544.41/x
  3. Step 3: Cross multiply
    120,830.06x = 177,544.41 × 177,544.41
  4. Step 4: Simplify right side
    120,830.06x = 31,522,016,190.67
  5. Step 5: Solve for x
    x = 31,522,016,190.67/120,830.06
  6. Step 6: Final answer
    x = 260,878.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.