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Finding the Third Proportional to 135,890 and 205,887

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Solution

The third proportional to 135,890 and 205,887 is: 311,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,890 : 205,887 = 205,887 : x
  2. Step 2: Convert to fraction form
    135,890/205,887 = 205,887/x
  3. Step 3: Cross multiply
    135,890x = 205,887 × 205,887
  4. Step 4: Simplify right side
    135,890x = 42,389,456,769
  5. Step 5: Solve for x
    x = 42,389,456,769/135,890
  6. Step 6: Final answer
    x = 311,939.49

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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.