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Finding the Third Proportional to 30,795 and 66,651

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Solution

The third proportional to 30,795 and 66,651 is: 144,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,795 : 66,651 = 66,651 : x
  2. Step 2: Convert to fraction form
    30,795/66,651 = 66,651/x
  3. Step 3: Cross multiply
    30,795x = 66,651 × 66,651
  4. Step 4: Simplify right side
    30,795x = 4,442,355,801
  5. Step 5: Solve for x
    x = 4,442,355,801/30,795
  6. Step 6: Final answer
    x = 144,255.75

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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.