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Finding the Third Proportional to 135,238 and 210,232

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Solution

The third proportional to 135,238 and 210,232 is: 326,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,238 : 210,232 = 210,232 : x
  2. Step 2: Convert to fraction form
    135,238/210,232 = 210,232/x
  3. Step 3: Cross multiply
    135,238x = 210,232 × 210,232
  4. Step 4: Simplify right side
    135,238x = 44,197,493,824
  5. Step 5: Solve for x
    x = 44,197,493,824/135,238
  6. Step 6: Final answer
    x = 326,812.68

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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.