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Finding the Third Proportional to 135,243 and 210,519

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Solution

The third proportional to 135,243 and 210,519 is: 327,693.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,243 : 210,519 = 210,519 : x
  2. Step 2: Convert to fraction form
    135,243/210,519 = 210,519/x
  3. Step 3: Cross multiply
    135,243x = 210,519 × 210,519
  4. Step 4: Simplify right side
    135,243x = 44,318,249,361
  5. Step 5: Solve for x
    x = 44,318,249,361/135,243
  6. Step 6: Final answer
    x = 327,693.48

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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.