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Finding the Third Proportional to 135,398 and 211,737

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Solution

The third proportional to 135,398 and 211,737 is: 331,116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,398 : 211,737 = 211,737 : x
  2. Step 2: Convert to fraction form
    135,398/211,737 = 211,737/x
  3. Step 3: Cross multiply
    135,398x = 211,737 × 211,737
  4. Step 4: Simplify right side
    135,398x = 44,832,557,169
  5. Step 5: Solve for x
    x = 44,832,557,169/135,398
  6. Step 6: Final answer
    x = 331,116.83

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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.