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Finding the Third Proportional to 65,420 and 103,759

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Solution

The third proportional to 65,420 and 103,759 is: 164,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,420 : 103,759 = 103,759 : x
  2. Step 2: Convert to fraction form
    65,420/103,759 = 103,759/x
  3. Step 3: Cross multiply
    65,420x = 103,759 × 103,759
  4. Step 4: Simplify right side
    65,420x = 10,765,930,081
  5. Step 5: Solve for x
    x = 10,765,930,081/65,420
  6. Step 6: Final answer
    x = 164,566.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.