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Finding the Third Proportional to 30,625 and 66,865

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Solution

The third proportional to 30,625 and 66,865 is: 145,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,625 : 66,865 = 66,865 : x
  2. Step 2: Convert to fraction form
    30,625/66,865 = 66,865/x
  3. Step 3: Cross multiply
    30,625x = 66,865 × 66,865
  4. Step 4: Simplify right side
    30,625x = 4,470,928,225
  5. Step 5: Solve for x
    x = 4,470,928,225/30,625
  6. Step 6: Final answer
    x = 145,989.49

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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.