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Finding the Third Proportional to 121,803.75 and 182,128.50

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Solution

The third proportional to 121,803.75 and 182,128.50 is: 272,329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,803.75 : 182,128.50 = 182,128.50 : x
  2. Step 2: Convert to fraction form
    121,803.75/182,128.50 = 182,128.50/x
  3. Step 3: Cross multiply
    121,803.75x = 182,128.50 × 182,128.50
  4. Step 4: Simplify right side
    121,803.75x = 33,170,790,512.25
  5. Step 5: Solve for x
    x = 33,170,790,512.25/121,803.75
  6. Step 6: Final answer
    x = 272,329.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.