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Finding the Third Proportional to 135,381 and 293,361

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Solution

The third proportional to 135,381 and 293,361 is: 635,692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,381 : 293,361 = 293,361 : x
  2. Step 2: Convert to fraction form
    135,381/293,361 = 293,361/x
  3. Step 3: Cross multiply
    135,381x = 293,361 × 293,361
  4. Step 4: Simplify right side
    135,381x = 86,060,676,321
  5. Step 5: Solve for x
    x = 86,060,676,321/135,381
  6. Step 6: Final answer
    x = 635,692.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.