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Finding the Third Proportional to 41,978 and 65,520

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Solution

The third proportional to 41,978 and 65,520 is: 102,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,978 : 65,520 = 65,520 : x
  2. Step 2: Convert to fraction form
    41,978/65,520 = 65,520/x
  3. Step 3: Cross multiply
    41,978x = 65,520 × 65,520
  4. Step 4: Simplify right side
    41,978x = 4,292,870,400
  5. Step 5: Solve for x
    x = 4,292,870,400/41,978
  6. Step 6: Final answer
    x = 102,264.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.