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Finding the Third Proportional to 55,100.25 and 122,512.50

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Solution

The third proportional to 55,100.25 and 122,512.50 is: 272,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,100.25 : 122,512.50 = 122,512.50 : x
  2. Step 2: Convert to fraction form
    55,100.25/122,512.50 = 122,512.50/x
  3. Step 3: Cross multiply
    55,100.25x = 122,512.50 × 122,512.50
  4. Step 4: Simplify right side
    55,100.25x = 15,009,312,656.25
  5. Step 5: Solve for x
    x = 15,009,312,656.25/55,100.25
  6. Step 6: Final answer
    x = 272,400.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.