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Finding the Third Proportional to 135,123 and 210,165

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Solution

The third proportional to 135,123 and 210,165 is: 326,882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,123 : 210,165 = 210,165 : x
  2. Step 2: Convert to fraction form
    135,123/210,165 = 210,165/x
  3. Step 3: Cross multiply
    135,123x = 210,165 × 210,165
  4. Step 4: Simplify right side
    135,123x = 44,169,327,225
  5. Step 5: Solve for x
    x = 44,169,327,225/135,123
  6. Step 6: Final answer
    x = 326,882.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.