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Finding the Third Proportional to 135,389 and 210,485

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Solution

The third proportional to 135,389 and 210,485 is: 327,234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,389 : 210,485 = 210,485 : x
  2. Step 2: Convert to fraction form
    135,389/210,485 = 210,485/x
  3. Step 3: Cross multiply
    135,389x = 210,485 × 210,485
  4. Step 4: Simplify right side
    135,389x = 44,303,935,225
  5. Step 5: Solve for x
    x = 44,303,935,225/135,389
  6. Step 6: Final answer
    x = 327,234.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.