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Finding the Third Proportional to 135,214 and 210,462

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Solution

The third proportional to 135,214 and 210,462 is: 327,586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,214 : 210,462 = 210,462 : x
  2. Step 2: Convert to fraction form
    135,214/210,462 = 210,462/x
  3. Step 3: Cross multiply
    135,214x = 210,462 × 210,462
  4. Step 4: Simplify right side
    135,214x = 44,294,253,444
  5. Step 5: Solve for x
    x = 44,294,253,444/135,214
  6. Step 6: Final answer
    x = 327,586.30

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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.