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Finding the Third Proportional to 62,718.75 and 135,279

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Solution

The third proportional to 62,718.75 and 135,279 is: 291,785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,718.75 : 135,279 = 135,279 : x
  2. Step 2: Convert to fraction form
    62,718.75/135,279 = 135,279/x
  3. Step 3: Cross multiply
    62,718.75x = 135,279 × 135,279
  4. Step 4: Simplify right side
    62,718.75x = 18,300,407,841
  5. Step 5: Solve for x
    x = 18,300,407,841/62,718.75
  6. Step 6: Final answer
    x = 291,785.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.