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Finding the Third Proportional to 135,250 and 210,247

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Solution

The third proportional to 135,250 and 210,247 is: 326,830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,250 : 210,247 = 210,247 : x
  2. Step 2: Convert to fraction form
    135,250/210,247 = 210,247/x
  3. Step 3: Cross multiply
    135,250x = 210,247 × 210,247
  4. Step 4: Simplify right side
    135,250x = 44,203,801,009
  5. Step 5: Solve for x
    x = 44,203,801,009/135,250
  6. Step 6: Final answer
    x = 326,830.32

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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.