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Finding the Third Proportional to 135,408 and 189,303

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Solution

The third proportional to 135,408 and 189,303 is: 264,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,408 : 189,303 = 189,303 : x
  2. Step 2: Convert to fraction form
    135,408/189,303 = 189,303/x
  3. Step 3: Cross multiply
    135,408x = 189,303 × 189,303
  4. Step 4: Simplify right side
    135,408x = 35,835,625,809
  5. Step 5: Solve for x
    x = 35,835,625,809/135,408
  6. Step 6: Final answer
    x = 264,649.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.