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Finding the Third Proportional to 65,451 and 135,759

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Solution

The third proportional to 65,451 and 135,759 is: 281,592.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,451 : 135,759 = 135,759 : x
  2. Step 2: Convert to fraction form
    65,451/135,759 = 135,759/x
  3. Step 3: Cross multiply
    65,451x = 135,759 × 135,759
  4. Step 4: Simplify right side
    65,451x = 18,430,506,081
  5. Step 5: Solve for x
    x = 18,430,506,081/65,451
  6. Step 6: Final answer
    x = 281,592.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.