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Finding the Third Proportional to 30,825 and 66,328

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Solution

The third proportional to 30,825 and 66,328 is: 142,721.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825 : 66,328 = 66,328 : x
  2. Step 2: Convert to fraction form
    30,825/66,328 = 66,328/x
  3. Step 3: Cross multiply
    30,825x = 66,328 × 66,328
  4. Step 4: Simplify right side
    30,825x = 4,399,403,584
  5. Step 5: Solve for x
    x = 4,399,403,584/30,825
  6. Step 6: Final answer
    x = 142,721.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.