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Finding the Third Proportional to 65,721 and 102,962

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Solution

The third proportional to 65,721 and 102,962 is: 161,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,721 : 102,962 = 102,962 : x
  2. Step 2: Convert to fraction form
    65,721/102,962 = 102,962/x
  3. Step 3: Cross multiply
    65,721x = 102,962 × 102,962
  4. Step 4: Simplify right side
    65,721x = 10,601,173,444
  5. Step 5: Solve for x
    x = 10,601,173,444/65,721
  6. Step 6: Final answer
    x = 161,305.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.