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Finding the Third Proportional to 128,368.55 and 273,910.36

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Solution

The third proportional to 128,368.55 and 273,910.36 is: 584,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,368.55 : 273,910.36 = 273,910.36 : x
  2. Step 2: Convert to fraction form
    128,368.55/273,910.36 = 273,910.36/x
  3. Step 3: Cross multiply
    128,368.55x = 273,910.36 × 273,910.36
  4. Step 4: Simplify right side
    128,368.55x = 75,026,884,972.94
  5. Step 5: Solve for x
    x = 75,026,884,972.94/128,368.55
  6. Step 6: Final answer
    x = 584,464.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.