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Finding the Third Proportional to 64,992 and 141,880

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Solution

The third proportional to 64,992 and 141,880 is: 309,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,992 : 141,880 = 141,880 : x
  2. Step 2: Convert to fraction form
    64,992/141,880 = 141,880/x
  3. Step 3: Cross multiply
    64,992x = 141,880 × 141,880
  4. Step 4: Simplify right side
    64,992x = 20,129,934,400
  5. Step 5: Solve for x
    x = 20,129,934,400/64,992
  6. Step 6: Final answer
    x = 309,729.42

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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.