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Finding the Third Proportional to 128,370.75 and 273,915

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Solution

The third proportional to 128,370.75 and 273,915 is: 584,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,370.75 : 273,915 = 273,915 : x
  2. Step 2: Convert to fraction form
    128,370.75/273,915 = 273,915/x
  3. Step 3: Cross multiply
    128,370.75x = 273,915 × 273,915
  4. Step 4: Simplify right side
    128,370.75x = 75,029,427,225
  5. Step 5: Solve for x
    x = 75,029,427,225/128,370.75
  6. Step 6: Final answer
    x = 584,474.48

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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.