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Finding the Third Proportional to 30,663 and 66,165

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Solution

The third proportional to 30,663 and 66,165 is: 142,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,663 : 66,165 = 66,165 : x
  2. Step 2: Convert to fraction form
    30,663/66,165 = 66,165/x
  3. Step 3: Cross multiply
    30,663x = 66,165 × 66,165
  4. Step 4: Simplify right side
    30,663x = 4,377,807,225
  5. Step 5: Solve for x
    x = 4,377,807,225/30,663
  6. Step 6: Final answer
    x = 142,771.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.