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Finding the Third Proportional to 128,741.63 and 188,503.50

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Solution

The third proportional to 128,741.63 and 188,503.50 is: 276,006.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,741.63 : 188,503.50 = 188,503.50 : x
  2. Step 2: Convert to fraction form
    128,741.63/188,503.50 = 188,503.50/x
  3. Step 3: Cross multiply
    128,741.63x = 188,503.50 × 188,503.50
  4. Step 4: Simplify right side
    128,741.63x = 35,533,569,512.25
  5. Step 5: Solve for x
    x = 35,533,569,512.25/128,741.63
  6. Step 6: Final answer
    x = 276,006.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.