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Finding the Third Proportional to 124,920.75 and 178,039.50

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Solution

The third proportional to 124,920.75 and 178,039.50 is: 253,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,920.75 : 178,039.50 = 178,039.50 : x
  2. Step 2: Convert to fraction form
    124,920.75/178,039.50 = 178,039.50/x
  3. Step 3: Cross multiply
    124,920.75x = 178,039.50 × 178,039.50
  4. Step 4: Simplify right side
    124,920.75x = 31,698,063,560.25
  5. Step 5: Solve for x
    x = 31,698,063,560.25/124,920.75
  6. Step 6: Final answer
    x = 253,745.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.