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Finding the Third Proportional to 87,896 and 139,748

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Solution

The third proportional to 87,896 and 139,748 is: 222,188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,896 : 139,748 = 139,748 : x
  2. Step 2: Convert to fraction form
    87,896/139,748 = 139,748/x
  3. Step 3: Cross multiply
    87,896x = 139,748 × 139,748
  4. Step 4: Simplify right side
    87,896x = 19,529,503,504
  5. Step 5: Solve for x
    x = 19,529,503,504/87,896
  6. Step 6: Final answer
    x = 222,188.76

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.