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Finding the Third Proportional to 135,390 and 210,487

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Solution

The third proportional to 135,390 and 210,487 is: 327,238.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,390 : 210,487 = 210,487 : x
  2. Step 2: Convert to fraction form
    135,390/210,487 = 210,487/x
  3. Step 3: Cross multiply
    135,390x = 210,487 × 210,487
  4. Step 4: Simplify right side
    135,390x = 44,304,777,169
  5. Step 5: Solve for x
    x = 44,304,777,169/135,390
  6. Step 6: Final answer
    x = 327,238.18

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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.