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Finding the Third Proportional to 65,742 and 141,992

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Solution

The third proportional to 65,742 and 141,992 is: 306,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,742 : 141,992 = 141,992 : x
  2. Step 2: Convert to fraction form
    65,742/141,992 = 141,992/x
  3. Step 3: Cross multiply
    65,742x = 141,992 × 141,992
  4. Step 4: Simplify right side
    65,742x = 20,161,728,064
  5. Step 5: Solve for x
    x = 20,161,728,064/65,742
  6. Step 6: Final answer
    x = 306,679.57

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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.