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Finding the Third Proportional to 30,012 and 65,425

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Solution

The third proportional to 30,012 and 65,425 is: 142,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,012 : 65,425 = 65,425 : x
  2. Step 2: Convert to fraction form
    30,012/65,425 = 65,425/x
  3. Step 3: Cross multiply
    30,012x = 65,425 × 65,425
  4. Step 4: Simplify right side
    30,012x = 4,280,430,625
  5. Step 5: Solve for x
    x = 4,280,430,625/30,012
  6. Step 6: Final answer
    x = 142,623.97

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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.