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Finding the Third Proportional to 30,275 and 65,999

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Solution

The third proportional to 30,275 and 65,999 is: 143,876.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,275 : 65,999 = 65,999 : x
  2. Step 2: Convert to fraction form
    30,275/65,999 = 65,999/x
  3. Step 3: Cross multiply
    30,275x = 65,999 × 65,999
  4. Step 4: Simplify right side
    30,275x = 4,355,868,001
  5. Step 5: Solve for x
    x = 4,355,868,001/30,275
  6. Step 6: Final answer
    x = 143,876.73

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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.