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Finding the Third Proportional to 30,797 and 67,655

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Solution

The third proportional to 30,797 and 67,655 is: 148,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797 : 67,655 = 67,655 : x
  2. Step 2: Convert to fraction form
    30,797/67,655 = 67,655/x
  3. Step 3: Cross multiply
    30,797x = 67,655 × 67,655
  4. Step 4: Simplify right side
    30,797x = 4,577,199,025
  5. Step 5: Solve for x
    x = 4,577,199,025/30,797
  6. Step 6: Final answer
    x = 148,624.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.