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Finding the Third Proportional to 30,765 and 67,065

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Solution

The third proportional to 30,765 and 67,065 is: 146,195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765 : 67,065 = 67,065 : x
  2. Step 2: Convert to fraction form
    30,765/67,065 = 67,065/x
  3. Step 3: Cross multiply
    30,765x = 67,065 × 67,065
  4. Step 4: Simplify right side
    30,765x = 4,497,714,225
  5. Step 5: Solve for x
    x = 4,497,714,225/30,765
  6. Step 6: Final answer
    x = 146,195.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.