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Finding the Third Proportional to 135,702 and 205,038

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Solution

The third proportional to 135,702 and 205,038 is: 309,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,702 : 205,038 = 205,038 : x
  2. Step 2: Convert to fraction form
    135,702/205,038 = 205,038/x
  3. Step 3: Cross multiply
    135,702x = 205,038 × 205,038
  4. Step 4: Simplify right side
    135,702x = 42,040,581,444
  5. Step 5: Solve for x
    x = 42,040,581,444/135,702
  6. Step 6: Final answer
    x = 309,800.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.