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Finding the Third Proportional to 30,625 and 66,109

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Solution

The third proportional to 30,625 and 66,109 is: 142,706.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,625 : 66,109 = 66,109 : x
  2. Step 2: Convert to fraction form
    30,625/66,109 = 66,109/x
  3. Step 3: Cross multiply
    30,625x = 66,109 × 66,109
  4. Step 4: Simplify right side
    30,625x = 4,370,399,881
  5. Step 5: Solve for x
    x = 4,370,399,881/30,625
  6. Step 6: Final answer
    x = 142,706.93

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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.