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Finding the Third Proportional to 135,655 and 293,908

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Solution

The third proportional to 135,655 and 293,908 is: 636,776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,655 : 293,908 = 293,908 : x
  2. Step 2: Convert to fraction form
    135,655/293,908 = 293,908/x
  3. Step 3: Cross multiply
    135,655x = 293,908 × 293,908
  4. Step 4: Simplify right side
    135,655x = 86,381,912,464
  5. Step 5: Solve for x
    x = 86,381,912,464/135,655
  6. Step 6: Final answer
    x = 636,776.47

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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.