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Finding the Third Proportional to 128,110.50 and 275,170.50

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Solution

The third proportional to 128,110.50 and 275,170.50 is: 591,042.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,110.50 : 275,170.50 = 275,170.50 : x
  2. Step 2: Convert to fraction form
    128,110.50/275,170.50 = 275,170.50/x
  3. Step 3: Cross multiply
    128,110.50x = 275,170.50 × 275,170.50
  4. Step 4: Simplify right side
    128,110.50x = 75,718,804,070.25
  5. Step 5: Solve for x
    x = 75,718,804,070.25/128,110.50
  6. Step 6: Final answer
    x = 591,042.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.