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Finding the Third Proportional to 30,255 and 65,686

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Solution

The third proportional to 30,255 and 65,686 is: 142,609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,255 : 65,686 = 65,686 : x
  2. Step 2: Convert to fraction form
    30,255/65,686 = 65,686/x
  3. Step 3: Cross multiply
    30,255x = 65,686 × 65,686
  4. Step 4: Simplify right side
    30,255x = 4,314,650,596
  5. Step 5: Solve for x
    x = 4,314,650,596/30,255
  6. Step 6: Final answer
    x = 142,609.51

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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.