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Finding the Third Proportional to 30,762 and 65,200

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Solution

The third proportional to 30,762 and 65,200 is: 138,191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762 : 65,200 = 65,200 : x
  2. Step 2: Convert to fraction form
    30,762/65,200 = 65,200/x
  3. Step 3: Cross multiply
    30,762x = 65,200 × 65,200
  4. Step 4: Simplify right side
    30,762x = 4,251,040,000
  5. Step 5: Solve for x
    x = 4,251,040,000/30,762
  6. Step 6: Final answer
    x = 138,191.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.