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Finding the Third Proportional to 135,785 and 205,935

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Solution

The third proportional to 135,785 and 205,935 is: 312,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,785 : 205,935 = 205,935 : x
  2. Step 2: Convert to fraction form
    135,785/205,935 = 205,935/x
  3. Step 3: Cross multiply
    135,785x = 205,935 × 205,935
  4. Step 4: Simplify right side
    135,785x = 42,409,224,225
  5. Step 5: Solve for x
    x = 42,409,224,225/135,785
  6. Step 6: Final answer
    x = 312,326.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.