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Finding the Third Proportional to 128,102.63 and 184,540.50

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Solution

The third proportional to 128,102.63 and 184,540.50 is: 265,843.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,102.63 : 184,540.50 = 184,540.50 : x
  2. Step 2: Convert to fraction form
    128,102.63/184,540.50 = 184,540.50/x
  3. Step 3: Cross multiply
    128,102.63x = 184,540.50 × 184,540.50
  4. Step 4: Simplify right side
    128,102.63x = 34,055,196,140.25
  5. Step 5: Solve for x
    x = 34,055,196,140.25/128,102.63
  6. Step 6: Final answer
    x = 265,843.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.