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Finding the Third Proportional to 135,903 and 294,486

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Solution

The third proportional to 135,903 and 294,486 is: 638,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,903 : 294,486 = 294,486 : x
  2. Step 2: Convert to fraction form
    135,903/294,486 = 294,486/x
  3. Step 3: Cross multiply
    135,903x = 294,486 × 294,486
  4. Step 4: Simplify right side
    135,903x = 86,722,004,196
  5. Step 5: Solve for x
    x = 86,722,004,196/135,903
  6. Step 6: Final answer
    x = 638,116.92

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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.