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Finding the Third Proportional to 65,090 and 135,328

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Solution

The third proportional to 65,090 and 135,328 is: 281,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,090 : 135,328 = 135,328 : x
  2. Step 2: Convert to fraction form
    65,090/135,328 = 135,328/x
  3. Step 3: Cross multiply
    65,090x = 135,328 × 135,328
  4. Step 4: Simplify right side
    65,090x = 18,313,667,584
  5. Step 5: Solve for x
    x = 18,313,667,584/65,090
  6. Step 6: Final answer
    x = 281,359.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.